Least Common Multiple of 60/872, 1538/5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/872, 1538/5232 quickly i.e. 46140/872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/872, 1538/5232 is 46140/872.

LCM(60/872, 1538/5232) = 46140/872

LCM of 60/872, 1538/5232

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 60/872,1538/5232

Given numbers are 60/872,1538/5232

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 60,1538

Least Common Multiple of Numerators i.e. LCM of 60,1538 is 46140.

GCF of Denominators means GCF of 872,5232 as per the given fractions.

GCF of 872,5232 is 872 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,1538

LCM of Fractions 60/872,1538/5232 is 46140/872

2 60, 1538
30, 769

∴ So the LCM of the given numbers is 2 x 30 x 769 = 46140

Least Common Multiple of 60,1538 with GCF Formula

Least Common Multiple of 60,1538 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 60,1538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,1538) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(60,1538) x common factors =2 x 1 = 2

LCM(60,1538) = ( 60 × 1538 ) / 2

LCM(60,1538) = 92280 / 2

LCM(60,1538) = 46140


Lets's calculate GCF of 872,5232

2 872, 5232
2 436, 2616
2 218, 1308
109 109, 654
1, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 109 = 872

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46140/872

Therefore the LCM of Fractions 60/872,1538/5232 is 46140/872

Greatest Common Factor of 872,5232 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,5232 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Greatest Common Factor

We found the factors 872,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 872,5232 is 872.


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 60/872, 1538/5232

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 60/872, 1538/5232?

Answer: LCM of Numerators as per given numbers 60/872, 1538/5232 is

LCM of Numerators i.e. for 60,1538 is 46140

GCF of denominators i.e. for 872,5232 is 872.

Thus, LCM of Fractions is 46140/872.Finally, LCM of Fractions for 60/872, 1538/5232 is 46140/872.