Least Common Multiple of 31/718, 201/926, 549/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/718, 201/926, 549/668 quickly i.e. 1140273/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/718, 201/926, 549/668 is 1140273/2.

LCM(31/718, 201/926, 549/668) = 1140273/2

LCM of 31/718, 201/926, 549/668

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 31/718,201/926,549/668

Given numbers are 31/718,201/926,549/668

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 31,201,549

Least Common Multiple of Numerators i.e. LCM of 31,201,549 is 1140273.

GCF of Denominators means GCF of 718,926,668 as per the given fractions.

GCF of 718,926,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,201,549

LCM of Fractions 31/718,201/926,549/668 is 1140273/2

3 31, 201, 549
31, 67, 183

∴ So the LCM of the given numbers is 3 x 31 x 67 x 183 = 1140273

Least Common Multiple of 31,201,549 with GCF Formula

Least Common Multiple of 31,201,549 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 31,201,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,201,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,201,549) x common factors =1 x 3 = 3

LCM(31,201,549) = ( 31 × 201 × 549 ) / 3

LCM(31,201,549) = 3420819 / 3

LCM(31,201,549) = 1140273


Lets's calculate GCF of 718,926,668

2 718, 926, 668
359, 463, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1140273/2

Therefore the LCM of Fractions 31/718,201/926,549/668 is 1140273/2

Greatest Common Factor of 718,926,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,926,668 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 718,926,668 . The biggest common factor number is the GCF number.
So the greatest common factor 718,926,668 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 31/718, 201/926, 549/668

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 31/718, 201/926, 549/668?

Answer: LCM of Numerators as per given numbers 31/718, 201/926, 549/668 is

LCM of Numerators i.e. for 31,201,549 is 1140273

GCF of denominators i.e. for 718,926,668 is 2.

Thus, LCM of Fractions is 1140273/2.Finally, LCM of Fractions for 31/718, 201/926, 549/668 is 1140273/2.