Least Common Multiple of 71/880, 9757/1936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/880, 9757/1936 quickly i.e. 692747/176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/880, 9757/1936 is 692747/176.

LCM(71/880, 9757/1936) = 692747/176

LCM of 71/880, 9757/1936

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 71/880,9757/1936

Given numbers are 71/880,9757/1936

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 71,9757

Least Common Multiple of Numerators i.e. LCM of 71,9757 is 692747.

GCF of Denominators means GCF of 880,1936 as per the given fractions.

GCF of 880,1936 is 176 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,9757

LCM of Fractions 71/880,9757/1936 is 692747/176

Given numbers has no common factors except 1. So, there LCM is their product i.e 692747

Least Common Multiple of 71,9757 with GCF Formula

Least Common Multiple of 71,9757 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 71,9757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,9757) = 1

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

GCF(71,9757) x common factors =1 x 1 = 1

LCM(71,9757) = ( 71 × 9757 ) / 1

LCM(71,9757) = 692747 / 1

LCM(71,9757) = 692747


Lets's calculate GCF of 880,1936

2 880, 1936
2 440, 968
2 220, 484
2 110, 242
11 55, 121
5, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692747/176

Therefore the LCM of Fractions 71/880,9757/1936 is 692747/176

Greatest Common Factor of 880,1936 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,1936 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936

Greatest Common Factor

We found the factors 880,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 880,1936 is 176.


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 71/880, 9757/1936

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 71/880, 9757/1936?

Answer: LCM of Numerators as per given numbers 71/880, 9757/1936 is

LCM of Numerators i.e. for 71,9757 is 692747

GCF of denominators i.e. for 880,1936 is 176.

Thus, LCM of Fractions is 692747/176.Finally, LCM of Fractions for 71/880, 9757/1936 is 692747/176.