Lcm Of 20 And 8

LCM of 8 and x is 40. LCM represents the least common cistron or multiple of any two or more than given integers. Students can learn the process of finding the LCM and HCF of given numbers by referring to HCF and LCM anytime for costless. We can calculate the LCM of given numbers by using the prime number factorisation, division method and listing multiples. Acquire the technique of finding the least mutual multiple of eight and 10 in unproblematic language in this article.

What is LCM of 8 and ten?

The answer to this question is 40.

How to Find LCM of viii and ten?

We can find the LCM of viii and 10 by using the iii methods shown below:

• Prime Factorisation
• Sectionalisation method
• Listing the multiples

LCM of viii and 10 Using Prime Factorisation Method

By prime number factorisation method, we tin write eight and ten as the product of prime numbers, such that;

8 = ii × ii × 2

x = 2 × 5

LCM (viii, 10) = 2 × two × 2 × five =40

LCM of 8 and ten Using Division Method

In this method, we divide the numbers 8 and x by their prime numbers to calculate their LCM. The product of these divisors depicts the least mutual multiple of viii and 10. This can be washed as follows.

2	8	10
2	4	5
two	two	five
5	ane	five
x	i	1

No more farther partition tin exist done.

Hence, LCM (viii, 10) = ii × ii × two × 5 = twoscore

LCM of eight and x Using Listing the Multiples

By listing the multiples of 8 and 10, we tin can determine their least common multiple with ease. The below table shows the multiples of 8 and 10.

Multiples of 8	Multiples of 10
eight	x
sixteen	20
24	30
32	forty
xl	50
48	60

LCM (8, 10) = 40

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Solved Examples

Q. 1: The GCD and LCM of two numbers are ii and xl. If one of the numbers is 10. Calculate the other number.

Solution: Allow the other number be z

GCD × LCM = 10 × z

z = (GCD × LCM)/10

z = (2 × 40)/x

z = viii

Therefore the other number is eight.

Q. 2: What is the LCM if the product of two numbers is eighty and their GCD is 2?

Solution: Given,

Product of numbers = lxxx

GCD = two

LCM × GCD = Product of numbers

LCM = Product of numbers / GCD

LCM = lxxx/2

LCM = 40

Thus the LCM is forty.

Frequently Asked Questions on LCM of eight and ten

What is the LCM of 8 and ten?

The LCM of 8 and x is forty.

42 is the LCM of 8 and 10. True or Faux.

False. 40 is the LCM of 8 and x.

How do you find the LCM of eight and 10 past Prime Factorization?

Prime factors of 8 = 2 × 2 × two

Prime factors of x = 2 × v

LCM = 2 × 2 × 2 × 5 = twoscore

Lcm Of 20 And 8,

Source: https://byjus.com/maths/lcm-of-8-and-10/

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