Least Common Multiple of 546/52, 931/38, 735/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/52, 931/38, 735/452 quickly i.e. 181545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/52, 931/38, 735/452 is 181545.

LCM(546/52, 931/38, 735/452) = 181545

LCM of 546/52, 931/38, 735/452

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 546/52,931/38,735/452

Given numbers are 546/52,931/38,735/452

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 546,931,735

Least Common Multiple of Numerators i.e. LCM of 546,931,735 is 363090.

GCF of Denominators means GCF of 52,38,452 as per the given fractions.

GCF of 52,38,452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,931,735

LCM of Fractions 546/52,931/38,735/452 is 181545

3 546, 931, 735
7 182, 931, 245
7 26, 133, 35
26, 19, 5

∴ So the LCM of the given numbers is 3 x 7 x 7 x 26 x 19 x 5 = 363090

Least Common Multiple of 546,931,735 with GCF Formula

Least Common Multiple of 546,931,735 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 546,931,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,931,735) = 7

common factors(in case of two or more numbers have common factors) = 147

GCF(546,931,735) x common factors =7 x 147 = 1029

LCM(546,931,735) = ( 546 × 931 × 735 ) / 1029

LCM(546,931,735) = 373619610 / 1029

LCM(546,931,735) = 363090


Lets's calculate GCF of 52,38,452

2 52, 38, 452
26, 19, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363090/2

Therefore the LCM of Fractions 546/52,931/38,735/452 is 181545

Greatest Common Factor of 52,38,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,38,452 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 52,38,452 . The biggest common factor number is the GCF number.
So the greatest common factor 52,38,452 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 546/52, 931/38, 735/452

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 546/52, 931/38, 735/452?

Answer: LCM of Numerators as per given numbers 546/52, 931/38, 735/452 is

LCM of Numerators i.e. for 546,931,735 is 363090

GCF of denominators i.e. for 52,38,452 is 2.

Thus, LCM of Fractions is 181545.Finally, LCM of Fractions for 546/52, 931/38, 735/452 is 181545.