Least Common Multiple of 40/726, 67/772, 536/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/726, 67/772, 536/116 quickly i.e. 1340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/726, 67/772, 536/116 is 1340.

LCM(40/726, 67/772, 536/116) = 1340

LCM of 40/726, 67/772, 536/116

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 40/726,67/772,536/116

Given numbers are 40/726,67/772,536/116

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 40,67,536

Least Common Multiple of Numerators i.e. LCM of 40,67,536 is 2680.

GCF of Denominators means GCF of 726,772,116 as per the given fractions.

GCF of 726,772,116 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,67,536

LCM of Fractions 40/726,67/772,536/116 is 1340

2 40, 67, 536
2 20, 67, 268
2 10, 67, 134
67 5, 67, 67
5, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 5 x 1 x 1 = 2680

Least Common Multiple of 40,67,536 with GCF Formula

Least Common Multiple of 40,67,536 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 40,67,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,67,536) = 1

common factors(in case of two or more numbers have common factors) = 536

GCF(40,67,536) x common factors =1 x 536 = 536

LCM(40,67,536) = ( 40 × 67 × 536 ) / 536

LCM(40,67,536) = 1436480 / 536

LCM(40,67,536) = 2680


Lets's calculate GCF of 726,772,116

2 726, 772, 116
363, 386, 58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2680/2

Therefore the LCM of Fractions 40/726,67/772,536/116 is 1340

Greatest Common Factor of 726,772,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,772,116 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 726,772,116 . The biggest common factor number is the GCF number.
So the greatest common factor 726,772,116 is 2.


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 40/726, 67/772, 536/116

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 40/726, 67/772, 536/116?

Answer: LCM of Numerators as per given numbers 40/726, 67/772, 536/116 is

LCM of Numerators i.e. for 40,67,536 is 2680

GCF of denominators i.e. for 726,772,116 is 2.

Thus, LCM of Fractions is 1340.Finally, LCM of Fractions for 40/726, 67/772, 536/116 is 1340.