Least Common Multiple of 60/448, 27/137, 428/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/448, 27/137, 428/852 quickly i.e. 57780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/448, 27/137, 428/852 is 57780.

LCM(60/448, 27/137, 428/852) = 57780

LCM of 60/448, 27/137, 428/852

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 60/448,27/137,428/852

Given numbers are 60/448,27/137,428/852

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 60,27,428

Least Common Multiple of Numerators i.e. LCM of 60,27,428 is 57780.

GCF of Denominators means GCF of 448,137,852 as per the given fractions.

GCF of 448,137,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,27,428

LCM of Fractions 60/448,27/137,428/852 is 57780

2 60, 27, 428
2 30, 27, 214
3 15, 27, 107
5, 9, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 9 x 107 = 57780

Least Common Multiple of 60,27,428 with GCF Formula

Least Common Multiple of 60,27,428 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 60,27,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,27,428) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,27,428) x common factors =1 x 12 = 12

LCM(60,27,428) = ( 60 × 27 × 428 ) / 12

LCM(60,27,428) = 693360 / 12

LCM(60,27,428) = 57780


Lets's calculate GCF of 448,137,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57780/1

Therefore the LCM of Fractions 60/448,27/137,428/852 is 57780

Greatest Common Factor of 448,137,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,137,852 By Matching Biggest Common Factor Method

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 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 448,137,852 . The biggest common factor number is the GCF number.
So the greatest common factor 448,137,852 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 60/448, 27/137, 428/852

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 60/448, 27/137, 428/852?

Answer: LCM of Numerators as per given numbers 60/448, 27/137, 428/852 is

LCM of Numerators i.e. for 60,27,428 is 57780

GCF of denominators i.e. for 448,137,852 is 1.

Thus, LCM of Fractions is 57780.Finally, LCM of Fractions for 60/448, 27/137, 428/852 is 57780.