Least Common Multiple of 72/273, 53/448, 524/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/273, 53/448, 524/954 quickly i.e. 499896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/273, 53/448, 524/954 is 499896.

LCM(72/273, 53/448, 524/954) = 499896

LCM of 72/273, 53/448, 524/954

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 72/273,53/448,524/954

Given numbers are 72/273,53/448,524/954

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 72,53,524

Least Common Multiple of Numerators i.e. LCM of 72,53,524 is 499896.

GCF of Denominators means GCF of 273,448,954 as per the given fractions.

GCF of 273,448,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,53,524

LCM of Fractions 72/273,53/448,524/954 is 499896

2 72, 53, 524
2 36, 53, 262
18, 53, 131

∴ So the LCM of the given numbers is 2 x 2 x 18 x 53 x 131 = 499896

Least Common Multiple of 72,53,524 with GCF Formula

Least Common Multiple of 72,53,524 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 72,53,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,53,524) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(72,53,524) x common factors =1 x 4 = 4

LCM(72,53,524) = ( 72 × 53 × 524 ) / 4

LCM(72,53,524) = 1999584 / 4

LCM(72,53,524) = 499896


Lets's calculate GCF of 273,448,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499896/1

Therefore the LCM of Fractions 72/273,53/448,524/954 is 499896

Greatest Common Factor of 273,448,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,448,954 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 273,448,954 . The biggest common factor number is the GCF number.
So the greatest common factor 273,448,954 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 72/273, 53/448, 524/954

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 72/273, 53/448, 524/954?

Answer: LCM of Numerators as per given numbers 72/273, 53/448, 524/954 is

LCM of Numerators i.e. for 72,53,524 is 499896

GCF of denominators i.e. for 273,448,954 is 1.

Thus, LCM of Fractions is 499896.Finally, LCM of Fractions for 72/273, 53/448, 524/954 is 499896.