Least Common Multiple of 53/461, 95/274, 532/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/461, 95/274, 532/399 quickly i.e. 140980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/461, 95/274, 532/399 is 140980.

LCM(53/461, 95/274, 532/399) = 140980

LCM of 53/461, 95/274, 532/399

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 53/461,95/274,532/399

Given numbers are 53/461,95/274,532/399

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 53,95,532

Least Common Multiple of Numerators i.e. LCM of 53,95,532 is 140980.

GCF of Denominators means GCF of 461,274,399 as per the given fractions.

GCF of 461,274,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,95,532

LCM of Fractions 53/461,95/274,532/399 is 140980

19 53, 95, 532
53, 5, 28

∴ So the LCM of the given numbers is 19 x 53 x 5 x 28 = 140980

Least Common Multiple of 53,95,532 with GCF Formula

Least Common Multiple of 53,95,532 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 53,95,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,95,532) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(53,95,532) x common factors =1 x 19 = 19

LCM(53,95,532) = ( 53 × 95 × 532 ) / 19

LCM(53,95,532) = 2678620 / 19

LCM(53,95,532) = 140980


Lets's calculate GCF of 461,274,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140980/1

Therefore the LCM of Fractions 53/461,95/274,532/399 is 140980

Greatest Common Factor of 461,274,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,274,399 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 461,274,399 . The biggest common factor number is the GCF number.
So the greatest common factor 461,274,399 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 53/461, 95/274, 532/399

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 53/461, 95/274, 532/399?

Answer: LCM of Numerators as per given numbers 53/461, 95/274, 532/399 is

LCM of Numerators i.e. for 53,95,532 is 140980

GCF of denominators i.e. for 461,274,399 is 1.

Thus, LCM of Fractions is 140980.Finally, LCM of Fractions for 53/461, 95/274, 532/399 is 140980.