Least Common Multiple of 852/717, 1079/1571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/717, 1079/1571 quickly i.e. 919308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/717, 1079/1571 is 919308.

LCM(852/717, 1079/1571) = 919308

LCM of 852/717, 1079/1571

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 852/717,1079/1571

Given numbers are 852/717,1079/1571

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 852,1079

Least Common Multiple of Numerators i.e. LCM of 852,1079 is 919308.

GCF of Denominators means GCF of 717,1571 as per the given fractions.

GCF of 717,1571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,1079

LCM of Fractions 852/717,1079/1571 is 919308

Given numbers has no common factors except 1. So, there LCM is their product i.e 919308

Least Common Multiple of 852,1079 with GCF Formula

Least Common Multiple of 852,1079 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 852,1079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,1079) = 1

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

GCF(852,1079) x common factors =1 x 1 = 1

LCM(852,1079) = ( 852 × 1079 ) / 1

LCM(852,1079) = 919308 / 1

LCM(852,1079) = 919308


Lets's calculate GCF of 717,1571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 919308/1

Therefore the LCM of Fractions 852/717,1079/1571 is 919308

Greatest Common Factor of 717,1571 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,1571 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 1571

List of positive integer factors of 1571 that divides 1571 without a remainder.

1,1571

Greatest Common Factor

We found the factors 717,1571 . The biggest common factor number is the GCF number.
So the greatest common factor 717,1571 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 852/717, 1079/1571

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 852/717, 1079/1571?

Answer: LCM of Numerators as per given numbers 852/717, 1079/1571 is

LCM of Numerators i.e. for 852,1079 is 919308

GCF of denominators i.e. for 717,1571 is 1.

Thus, LCM of Fractions is 919308.Finally, LCM of Fractions for 852/717, 1079/1571 is 919308.