Least Common Multiple of 42/908, 53/366, 653/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/908, 53/366, 653/472 quickly i.e. 726789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/908, 53/366, 653/472 is 726789.

LCM(42/908, 53/366, 653/472) = 726789

LCM of 42/908, 53/366, 653/472

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 42/908,53/366,653/472

Given numbers are 42/908,53/366,653/472

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 42,53,653

Least Common Multiple of Numerators i.e. LCM of 42,53,653 is 1453578.

GCF of Denominators means GCF of 908,366,472 as per the given fractions.

GCF of 908,366,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,53,653

LCM of Fractions 42/908,53/366,653/472 is 726789

Given numbers has no common factors except 1. So, there LCM is their product i.e 1453578

Least Common Multiple of 42,53,653 with GCF Formula

Least Common Multiple of 42,53,653 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 42,53,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,53,653) = 1

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

GCF(42,53,653) x common factors =1 x 1 = 1

LCM(42,53,653) = ( 42 × 53 × 653 ) / 1

LCM(42,53,653) = 1453578 / 1

LCM(42,53,653) = 1453578


Lets's calculate GCF of 908,366,472

2 908, 366, 472
454, 183, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1453578/2

Therefore the LCM of Fractions 42/908,53/366,653/472 is 726789

Greatest Common Factor of 908,366,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,366,472 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 908,366,472 . The biggest common factor number is the GCF number.
So the greatest common factor 908,366,472 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 42/908, 53/366, 653/472

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 42/908, 53/366, 653/472?

Answer: LCM of Numerators as per given numbers 42/908, 53/366, 653/472 is

LCM of Numerators i.e. for 42,53,653 is 1453578

GCF of denominators i.e. for 908,366,472 is 2.

Thus, LCM of Fractions is 726789.Finally, LCM of Fractions for 42/908, 53/366, 653/472 is 726789.