Least Common Multiple of 40/56, 102/81, 906/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/56, 102/81, 906/901 quickly i.e. 308040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/56, 102/81, 906/901 is 308040.

LCM(40/56, 102/81, 906/901) = 308040

LCM of 40/56, 102/81, 906/901

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 40/56,102/81,906/901

Given numbers are 40/56,102/81,906/901

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 40,102,906

Least Common Multiple of Numerators i.e. LCM of 40,102,906 is 308040.

GCF of Denominators means GCF of 56,81,901 as per the given fractions.

GCF of 56,81,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,102,906

LCM of Fractions 40/56,102/81,906/901 is 308040

2 40, 102, 906
3 20, 51, 453
20, 17, 151

∴ So the LCM of the given numbers is 2 x 3 x 20 x 17 x 151 = 308040

Least Common Multiple of 40,102,906 with GCF Formula

Least Common Multiple of 40,102,906 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 40,102,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,102,906) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(40,102,906) x common factors =2 x 6 = 12

LCM(40,102,906) = ( 40 × 102 × 906 ) / 12

LCM(40,102,906) = 3696480 / 12

LCM(40,102,906) = 308040


Lets's calculate GCF of 56,81,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308040/1

Therefore the LCM of Fractions 40/56,102/81,906/901 is 308040

Greatest Common Factor of 56,81,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,81,901 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 56,81,901 . The biggest common factor number is the GCF number.
So the greatest common factor 56,81,901 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 40/56, 102/81, 906/901

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 40/56, 102/81, 906/901?

Answer: LCM of Numerators as per given numbers 40/56, 102/81, 906/901 is

LCM of Numerators i.e. for 40,102,906 is 308040

GCF of denominators i.e. for 56,81,901 is 1.

Thus, LCM of Fractions is 308040.Finally, LCM of Fractions for 40/56, 102/81, 906/901 is 308040.