Least Common Multiple of 9656/88, 7900/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9656/88, 7900/920 quickly i.e. 2383825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9656/88, 7900/920 is 2383825.

LCM(9656/88, 7900/920) = 2383825

LCM of 9656/88, 7900/920

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 9656/88,7900/920

Given numbers are 9656/88,7900/920

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 9656,7900

Least Common Multiple of Numerators i.e. LCM of 9656,7900 is 19070600.

GCF of Denominators means GCF of 88,920 as per the given fractions.

GCF of 88,920 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9656,7900

LCM of Fractions 9656/88,7900/920 is 2383825

2 9656, 7900
2 4828, 3950
2414, 1975

∴ So the LCM of the given numbers is 2 x 2 x 2414 x 1975 = 19070600

Least Common Multiple of 9656,7900 with GCF Formula

Least Common Multiple of 9656,7900 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 9656,7900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9656,7900) = 4

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

GCF(9656,7900) x common factors =4 x 1 = 4

LCM(9656,7900) = ( 9656 × 7900 ) / 4

LCM(9656,7900) = 76282400 / 4

LCM(9656,7900) = 19070600


Lets's calculate GCF of 88,920

2 88, 920
2 44, 460
2 22, 230
11, 115

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19070600/8

Therefore the LCM of Fractions 9656/88,7900/920 is 2383825

Greatest Common Factor of 88,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,920 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 88,920 . The biggest common factor number is the GCF number.
So the greatest common factor 88,920 is 8.


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 9656/88, 7900/920

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 9656/88, 7900/920?

Answer: LCM of Numerators as per given numbers 9656/88, 7900/920 is

LCM of Numerators i.e. for 9656,7900 is 19070600

GCF of denominators i.e. for 88,920 is 8.

Thus, LCM of Fractions is 2383825.Finally, LCM of Fractions for 9656/88, 7900/920 is 2383825.