Least Common Multiple of 829/252, 202/682, 743/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/252, 202/682, 743/945 quickly i.e. 124421294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/252, 202/682, 743/945 is 124421294.

LCM(829/252, 202/682, 743/945) = 124421294

LCM of 829/252, 202/682, 743/945

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 829/252,202/682,743/945

Given numbers are 829/252,202/682,743/945

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 829,202,743

Least Common Multiple of Numerators i.e. LCM of 829,202,743 is 124421294.

GCF of Denominators means GCF of 252,682,945 as per the given fractions.

GCF of 252,682,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,202,743

LCM of Fractions 829/252,202/682,743/945 is 124421294

Given numbers has no common factors except 1. So, there LCM is their product i.e 124421294

Least Common Multiple of 829,202,743 with GCF Formula

Least Common Multiple of 829,202,743 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 829,202,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,202,743) = 1

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

GCF(829,202,743) x common factors =1 x 1 = 1

LCM(829,202,743) = ( 829 × 202 × 743 ) / 1

LCM(829,202,743) = 124421294 / 1

LCM(829,202,743) = 124421294


Lets's calculate GCF of 252,682,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124421294/1

Therefore the LCM of Fractions 829/252,202/682,743/945 is 124421294

Greatest Common Factor of 252,682,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,682,945 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 252,682,945 . The biggest common factor number is the GCF number.
So the greatest common factor 252,682,945 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 829/252, 202/682, 743/945

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 829/252, 202/682, 743/945?

Answer: LCM of Numerators as per given numbers 829/252, 202/682, 743/945 is

LCM of Numerators i.e. for 829,202,743 is 124421294

GCF of denominators i.e. for 252,682,945 is 1.

Thus, LCM of Fractions is 124421294.Finally, LCM of Fractions for 829/252, 202/682, 743/945 is 124421294.