Least Common Multiple of 87/31, 95/738, 896/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/31, 95/738, 896/784 quickly i.e. 7405440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/31, 95/738, 896/784 is 7405440.

LCM(87/31, 95/738, 896/784) = 7405440

LCM of 87/31, 95/738, 896/784

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 87/31,95/738,896/784

Given numbers are 87/31,95/738,896/784

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 87,95,896

Least Common Multiple of Numerators i.e. LCM of 87,95,896 is 7405440.

GCF of Denominators means GCF of 31,738,784 as per the given fractions.

GCF of 31,738,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,95,896

LCM of Fractions 87/31,95/738,896/784 is 7405440

Given numbers has no common factors except 1. So, there LCM is their product i.e 7405440

Least Common Multiple of 87,95,896 with GCF Formula

Least Common Multiple of 87,95,896 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 87,95,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,95,896) = 1

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

GCF(87,95,896) x common factors =1 x 1 = 1

LCM(87,95,896) = ( 87 × 95 × 896 ) / 1

LCM(87,95,896) = 7405440 / 1

LCM(87,95,896) = 7405440


Lets's calculate GCF of 31,738,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7405440/1

Therefore the LCM of Fractions 87/31,95/738,896/784 is 7405440

Greatest Common Factor of 31,738,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,738,784 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 31,738,784 . The biggest common factor number is the GCF number.
So the greatest common factor 31,738,784 is 1.


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 87/31, 95/738, 896/784

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 87/31, 95/738, 896/784?

Answer: LCM of Numerators as per given numbers 87/31, 95/738, 896/784 is

LCM of Numerators i.e. for 87,95,896 is 7405440

GCF of denominators i.e. for 31,738,784 is 1.

Thus, LCM of Fractions is 7405440.Finally, LCM of Fractions for 87/31, 95/738, 896/784 is 7405440.