Least Common Multiple of 252/841, 753/600, 202/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/841, 753/600, 202/308 quickly i.e. 6388452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/841, 753/600, 202/308 is 6388452.

LCM(252/841, 753/600, 202/308) = 6388452

LCM of 252/841, 753/600, 202/308

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 252/841,753/600,202/308

Given numbers are 252/841,753/600,202/308

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 252,753,202

Least Common Multiple of Numerators i.e. LCM of 252,753,202 is 6388452.

GCF of Denominators means GCF of 841,600,308 as per the given fractions.

GCF of 841,600,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,753,202

LCM of Fractions 252/841,753/600,202/308 is 6388452

2 252, 753, 202
3 126, 753, 101
42, 251, 101

∴ So the LCM of the given numbers is 2 x 3 x 42 x 251 x 101 = 6388452

Least Common Multiple of 252,753,202 with GCF Formula

Least Common Multiple of 252,753,202 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 252,753,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,753,202) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(252,753,202) x common factors =1 x 6 = 6

LCM(252,753,202) = ( 252 × 753 × 202 ) / 6

LCM(252,753,202) = 38330712 / 6

LCM(252,753,202) = 6388452


Lets's calculate GCF of 841,600,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6388452/1

Therefore the LCM of Fractions 252/841,753/600,202/308 is 6388452

Greatest Common Factor of 841,600,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,600,308 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 841,600,308 . The biggest common factor number is the GCF number.
So the greatest common factor 841,600,308 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 252/841, 753/600, 202/308

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 252/841, 753/600, 202/308?

Answer: LCM of Numerators as per given numbers 252/841, 753/600, 202/308 is

LCM of Numerators i.e. for 252,753,202 is 6388452

GCF of denominators i.e. for 841,600,308 is 1.

Thus, LCM of Fractions is 6388452.Finally, LCM of Fractions for 252/841, 753/600, 202/308 is 6388452.