Least Common Multiple of 87/89, 65/24, 17/86, 64/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/89, 65/24, 17/86, 64/661 quickly i.e. 6152640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/89, 65/24, 17/86, 64/661 is 6152640.

LCM(87/89, 65/24, 17/86, 64/661) = 6152640

LCM of 87/89, 65/24, 17/86, 64/661

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 87/89,65/24,17/86,64/661

Given numbers are 87/89,65/24,17/86,64/661

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 87,65,17,64

Least Common Multiple of Numerators i.e. LCM of 87,65,17,64 is 6152640.

GCF of Denominators means GCF of 89,24,86,661 as per the given fractions.

GCF of 89,24,86,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,65,17,64

LCM of Fractions 87/89,65/24,17/86,64/661 is 6152640

Given numbers has no common factors except 1. So, there LCM is their product i.e 6152640

Least Common Multiple of 87,65,17,64 with GCF Formula

Least Common Multiple of 87,65,17,64 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 87,65,17,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,65,17,64) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,65,17,64) x common factors =1 x 1 = 1

LCM(87,65,17,64) = ( 87 × 65 × 17 × 64 ) / 1

LCM(87,65,17,64) = 6152640 / 1

LCM(87,65,17,64) = 6152640


Lets's calculate GCF of 89,24,86,661

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6152640/1

Therefore the LCM of Fractions 87/89,65/24,17/86,64/661 is 6152640

Greatest Common Factor of 89,24,86,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,24,86,661 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 89,24,86,661 . The biggest common factor number is the GCF number.
So the greatest common factor 89,24,86,661 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 87/89, 65/24, 17/86, 64/661

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 87/89, 65/24, 17/86, 64/661?

Answer: LCM of Numerators as per given numbers 87/89, 65/24, 17/86, 64/661 is

LCM of Numerators i.e. for 87,65,17,64 is 6152640

GCF of denominators i.e. for 89,24,86,661 is 1.

Thus, LCM of Fractions is 6152640.Finally, LCM of Fractions for 87/89, 65/24, 17/86, 64/661 is 6152640.