Least Common Multiple of 40/726, 499/356, 139/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/726, 499/356, 139/780 quickly i.e. 1387220 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, 499/356, 139/780 is 1387220.

LCM(40/726, 499/356, 139/780) = 1387220

LCM of 40/726, 499/356, 139/780

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 40/726,499/356,139/780

Given numbers are 40/726,499/356,139/780

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 40,499,139

Least Common Multiple of Numerators i.e. LCM of 40,499,139 is 2774440.

GCF of Denominators means GCF of 726,356,780 as per the given fractions.

GCF of 726,356,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,499,139

LCM of Fractions 40/726,499/356,139/780 is 1387220

Given numbers has no common factors except 1. So, there LCM is their product i.e 2774440

Least Common Multiple of 40,499,139 with GCF Formula

Least Common Multiple of 40,499,139 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 40,499,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,499,139) = 1

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

GCF(40,499,139) x common factors =1 x 1 = 1

LCM(40,499,139) = ( 40 × 499 × 139 ) / 1

LCM(40,499,139) = 2774440 / 1

LCM(40,499,139) = 2774440


Lets's calculate GCF of 726,356,780

2 726, 356, 780
363, 178, 390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2774440/2

Therefore the LCM of Fractions 40/726,499/356,139/780 is 1387220

Greatest Common Factor of 726,356,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,356,780 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 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 726,356,780 . The biggest common factor number is the GCF number.
So the greatest common factor 726,356,780 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, 499/356, 139/780

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, 499/356, 139/780?

Answer: LCM of Numerators as per given numbers 40/726, 499/356, 139/780 is

LCM of Numerators i.e. for 40,499,139 is 2774440

GCF of denominators i.e. for 726,356,780 is 2.

Thus, LCM of Fractions is 1387220.Finally, LCM of Fractions for 40/726, 499/356, 139/780 is 1387220.