Least Common Multiple of 74/507, 79/498, 364/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/507, 79/498, 364/151 quickly i.e. 1063972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/507, 79/498, 364/151 is 1063972.

LCM(74/507, 79/498, 364/151) = 1063972

LCM of 74/507, 79/498, 364/151

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 74/507,79/498,364/151

Given numbers are 74/507,79/498,364/151

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 74,79,364

Least Common Multiple of Numerators i.e. LCM of 74,79,364 is 1063972.

GCF of Denominators means GCF of 507,498,151 as per the given fractions.

GCF of 507,498,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,79,364

LCM of Fractions 74/507,79/498,364/151 is 1063972

2 74, 79, 364
37, 79, 182

∴ So the LCM of the given numbers is 2 x 37 x 79 x 182 = 1063972

Least Common Multiple of 74,79,364 with GCF Formula

Least Common Multiple of 74,79,364 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 74,79,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,79,364) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,79,364) x common factors =1 x 2 = 2

LCM(74,79,364) = ( 74 × 79 × 364 ) / 2

LCM(74,79,364) = 2127944 / 2

LCM(74,79,364) = 1063972


Lets's calculate GCF of 507,498,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1063972/1

Therefore the LCM of Fractions 74/507,79/498,364/151 is 1063972

Greatest Common Factor of 507,498,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,498,151 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 507,498,151 . The biggest common factor number is the GCF number.
So the greatest common factor 507,498,151 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 74/507, 79/498, 364/151

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 74/507, 79/498, 364/151?

Answer: LCM of Numerators as per given numbers 74/507, 79/498, 364/151 is

LCM of Numerators i.e. for 74,79,364 is 1063972

GCF of denominators i.e. for 507,498,151 is 1.

Thus, LCM of Fractions is 1063972.Finally, LCM of Fractions for 74/507, 79/498, 364/151 is 1063972.