Least Common Multiple of 89/267, 150/77, 964/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/267, 150/77, 964/932 quickly i.e. 6434700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/267, 150/77, 964/932 is 6434700.

LCM(89/267, 150/77, 964/932) = 6434700

LCM of 89/267, 150/77, 964/932

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 89/267,150/77,964/932

Given numbers are 89/267,150/77,964/932

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 89,150,964

Least Common Multiple of Numerators i.e. LCM of 89,150,964 is 6434700.

GCF of Denominators means GCF of 267,77,932 as per the given fractions.

GCF of 267,77,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,150,964

LCM of Fractions 89/267,150/77,964/932 is 6434700

2 89, 150, 964
89, 75, 482

∴ So the LCM of the given numbers is 2 x 89 x 75 x 482 = 6434700

Least Common Multiple of 89,150,964 with GCF Formula

Least Common Multiple of 89,150,964 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 89,150,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,150,964) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(89,150,964) x common factors =1 x 2 = 2

LCM(89,150,964) = ( 89 × 150 × 964 ) / 2

LCM(89,150,964) = 12869400 / 2

LCM(89,150,964) = 6434700


Lets's calculate GCF of 267,77,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6434700/1

Therefore the LCM of Fractions 89/267,150/77,964/932 is 6434700

Greatest Common Factor of 267,77,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,77,932 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 267,77,932 . The biggest common factor number is the GCF number.
So the greatest common factor 267,77,932 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/267, 150/77, 964/932

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 89/267, 150/77, 964/932?

Answer: LCM of Numerators as per given numbers 89/267, 150/77, 964/932 is

LCM of Numerators i.e. for 89,150,964 is 6434700

GCF of denominators i.e. for 267,77,932 is 1.

Thus, LCM of Fractions is 6434700.Finally, LCM of Fractions for 89/267, 150/77, 964/932 is 6434700.