Least Common Multiple of 72/852, 2477/1610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/852, 2477/1610 quickly i.e. 89172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/852, 2477/1610 is 89172.

LCM(72/852, 2477/1610) = 89172

LCM of 72/852, 2477/1610

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 72/852,2477/1610

Given numbers are 72/852,2477/1610

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 72,2477

Least Common Multiple of Numerators i.e. LCM of 72,2477 is 178344.

GCF of Denominators means GCF of 852,1610 as per the given fractions.

GCF of 852,1610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,2477

LCM of Fractions 72/852,2477/1610 is 89172

Given numbers has no common factors except 1. So, there LCM is their product i.e 178344

Least Common Multiple of 72,2477 with GCF Formula

Least Common Multiple of 72,2477 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 72,2477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,2477) = 1

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

GCF(72,2477) x common factors =1 x 1 = 1

LCM(72,2477) = ( 72 × 2477 ) / 1

LCM(72,2477) = 178344 / 1

LCM(72,2477) = 178344


Lets's calculate GCF of 852,1610

2 852, 1610
426, 805

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178344/2

Therefore the LCM of Fractions 72/852,2477/1610 is 89172

Greatest Common Factor of 852,1610 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,1610 By Matching Biggest Common Factor Method

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

Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610

Greatest Common Factor

We found the factors 852,1610 . The biggest common factor number is the GCF number.
So the greatest common factor 852,1610 is 2.


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 72/852, 2477/1610

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 72/852, 2477/1610?

Answer: LCM of Numerators as per given numbers 72/852, 2477/1610 is

LCM of Numerators i.e. for 72,2477 is 178344

GCF of denominators i.e. for 852,1610 is 2.

Thus, LCM of Fractions is 89172.Finally, LCM of Fractions for 72/852, 2477/1610 is 89172.