Least Common Multiple of 852/84, 249/1577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/84, 249/1577 quickly i.e. 70716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/84, 249/1577 is 70716.

LCM(852/84, 249/1577) = 70716

LCM of 852/84, 249/1577

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 852/84,249/1577

Given numbers are 852/84,249/1577

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 852,249

Least Common Multiple of Numerators i.e. LCM of 852,249 is 70716.

GCF of Denominators means GCF of 84,1577 as per the given fractions.

GCF of 84,1577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,249

LCM of Fractions 852/84,249/1577 is 70716

3 852, 249
284, 83

∴ So the LCM of the given numbers is 3 x 284 x 83 = 70716

Least Common Multiple of 852,249 with GCF Formula

Least Common Multiple of 852,249 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 852,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,249) = 3

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

GCF(852,249) x common factors =3 x 1 = 3

LCM(852,249) = ( 852 × 249 ) / 3

LCM(852,249) = 212148 / 3

LCM(852,249) = 70716


Lets's calculate GCF of 84,1577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70716/1

Therefore the LCM of Fractions 852/84,249/1577 is 70716

Greatest Common Factor of 84,1577 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1577 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 1577

List of positive integer factors of 1577 that divides 1577 without a remainder.

1,19,83,1577

Greatest Common Factor

We found the factors 84,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1577 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 852/84, 249/1577

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 852/84, 249/1577?

Answer: LCM of Numerators as per given numbers 852/84, 249/1577 is

LCM of Numerators i.e. for 852,249 is 70716

GCF of denominators i.e. for 84,1577 is 1.

Thus, LCM of Fractions is 70716.Finally, LCM of Fractions for 852/84, 249/1577 is 70716.