Least Common Multiple of 9988/926, 9755/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9988/926, 9755/960 quickly i.e. 48716470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9988/926, 9755/960 is 48716470.

LCM(9988/926, 9755/960) = 48716470

LCM of 9988/926, 9755/960

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 9988/926,9755/960

Given numbers are 9988/926,9755/960

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 9988,9755

Least Common Multiple of Numerators i.e. LCM of 9988,9755 is 97432940.

GCF of Denominators means GCF of 926,960 as per the given fractions.

GCF of 926,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9988,9755

LCM of Fractions 9988/926,9755/960 is 48716470

Given numbers has no common factors except 1. So, there LCM is their product i.e 97432940

Least Common Multiple of 9988,9755 with GCF Formula

Least Common Multiple of 9988,9755 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 9988,9755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9988,9755) = 1

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

GCF(9988,9755) x common factors =1 x 1 = 1

LCM(9988,9755) = ( 9988 × 9755 ) / 1

LCM(9988,9755) = 97432940 / 1

LCM(9988,9755) = 97432940


Lets's calculate GCF of 926,960

2 926, 960
463, 480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97432940/2

Therefore the LCM of Fractions 9988/926,9755/960 is 48716470

Greatest Common Factor of 926,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,960 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 926,960 . The biggest common factor number is the GCF number.
So the greatest common factor 926,960 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9988/926, 9755/960

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 9988/926, 9755/960?

Answer: LCM of Numerators as per given numbers 9988/926, 9755/960 is

LCM of Numerators i.e. for 9988,9755 is 97432940

GCF of denominators i.e. for 926,960 is 2.

Thus, LCM of Fractions is 48716470.Finally, LCM of Fractions for 9988/926, 9755/960 is 48716470.