Least Common Multiple of 53/457, 558/220, 740/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/457, 558/220, 740/121 quickly i.e. 10942380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/457, 558/220, 740/121 is 10942380.

LCM(53/457, 558/220, 740/121) = 10942380

LCM of 53/457, 558/220, 740/121

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 53/457,558/220,740/121

Given numbers are 53/457,558/220,740/121

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 53,558,740

Least Common Multiple of Numerators i.e. LCM of 53,558,740 is 10942380.

GCF of Denominators means GCF of 457,220,121 as per the given fractions.

GCF of 457,220,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,558,740

LCM of Fractions 53/457,558/220,740/121 is 10942380

2 53, 558, 740
53, 279, 370

∴ So the LCM of the given numbers is 2 x 53 x 279 x 370 = 10942380

Least Common Multiple of 53,558,740 with GCF Formula

Least Common Multiple of 53,558,740 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 53,558,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,558,740) = 1

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

GCF(53,558,740) x common factors =1 x 2 = 2

LCM(53,558,740) = ( 53 × 558 × 740 ) / 2

LCM(53,558,740) = 21884760 / 2

LCM(53,558,740) = 10942380


Lets's calculate GCF of 457,220,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10942380/1

Therefore the LCM of Fractions 53/457,558/220,740/121 is 10942380

Greatest Common Factor of 457,220,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,220,121 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 457,220,121 . The biggest common factor number is the GCF number.
So the greatest common factor 457,220,121 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 53/457, 558/220, 740/121

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 53/457, 558/220, 740/121?

Answer: LCM of Numerators as per given numbers 53/457, 558/220, 740/121 is

LCM of Numerators i.e. for 53,558,740 is 10942380

GCF of denominators i.e. for 457,220,121 is 1.

Thus, LCM of Fractions is 10942380.Finally, LCM of Fractions for 53/457, 558/220, 740/121 is 10942380.