Least Common Multiple of 22/969, 8524/8757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/969, 8524/8757 quickly i.e. 93764/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/969, 8524/8757 is 93764/3.

LCM(22/969, 8524/8757) = 93764/3

LCM of 22/969, 8524/8757

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 22/969,8524/8757

Given numbers are 22/969,8524/8757

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 22,8524

Least Common Multiple of Numerators i.e. LCM of 22,8524 is 93764.

GCF of Denominators means GCF of 969,8757 as per the given fractions.

GCF of 969,8757 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,8524

LCM of Fractions 22/969,8524/8757 is 93764/3

2 22, 8524
11, 4262

∴ So the LCM of the given numbers is 2 x 11 x 4262 = 93764

Least Common Multiple of 22,8524 with GCF Formula

Least Common Multiple of 22,8524 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 22,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,8524) = 2

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

GCF(22,8524) x common factors =2 x 1 = 2

LCM(22,8524) = ( 22 × 8524 ) / 2

LCM(22,8524) = 187528 / 2

LCM(22,8524) = 93764


Lets's calculate GCF of 969,8757

3 969, 8757
323, 2919

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93764/3

Therefore the LCM of Fractions 22/969,8524/8757 is 93764/3

Greatest Common Factor of 969,8757 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,8757 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 8757

List of positive integer factors of 8757 that divides 8757 without a remainder.

1,3,7,9,21,63,139,417,973,1251,2919,8757

Greatest Common Factor

We found the factors 969,8757 . The biggest common factor number is the GCF number.
So the greatest common factor 969,8757 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 22/969, 8524/8757

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 22/969, 8524/8757?

Answer: LCM of Numerators as per given numbers 22/969, 8524/8757 is

LCM of Numerators i.e. for 22,8524 is 93764

GCF of denominators i.e. for 969,8757 is 3.

Thus, LCM of Fractions is 93764/3.Finally, LCM of Fractions for 22/969, 8524/8757 is 93764/3.