Least Common Multiple of 52/22, 575/71, 709/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/22, 575/71, 709/394 quickly i.e. 21199100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/22, 575/71, 709/394 is 21199100.

LCM(52/22, 575/71, 709/394) = 21199100

LCM of 52/22, 575/71, 709/394

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 52/22,575/71,709/394

Given numbers are 52/22,575/71,709/394

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 52,575,709

Least Common Multiple of Numerators i.e. LCM of 52,575,709 is 21199100.

GCF of Denominators means GCF of 22,71,394 as per the given fractions.

GCF of 22,71,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,575,709

LCM of Fractions 52/22,575/71,709/394 is 21199100

Given numbers has no common factors except 1. So, there LCM is their product i.e 21199100

Least Common Multiple of 52,575,709 with GCF Formula

Least Common Multiple of 52,575,709 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 52,575,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,575,709) = 1

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

GCF(52,575,709) x common factors =1 x 1 = 1

LCM(52,575,709) = ( 52 × 575 × 709 ) / 1

LCM(52,575,709) = 21199100 / 1

LCM(52,575,709) = 21199100


Lets's calculate GCF of 22,71,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21199100/1

Therefore the LCM of Fractions 52/22,575/71,709/394 is 21199100

Greatest Common Factor of 22,71,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,71,394 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 22,71,394 . The biggest common factor number is the GCF number.
So the greatest common factor 22,71,394 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/22, 575/71, 709/394

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 52/22, 575/71, 709/394?

Answer: LCM of Numerators as per given numbers 52/22, 575/71, 709/394 is

LCM of Numerators i.e. for 52,575,709 is 21199100

GCF of denominators i.e. for 22,71,394 is 1.

Thus, LCM of Fractions is 21199100.Finally, LCM of Fractions for 52/22, 575/71, 709/394 is 21199100.