Least Common Multiple of 15/956, 212/74, 829/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/956, 212/74, 829/970 quickly i.e. 1318110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/956, 212/74, 829/970 is 1318110.

LCM(15/956, 212/74, 829/970) = 1318110

LCM of 15/956, 212/74, 829/970

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 15/956,212/74,829/970

Given numbers are 15/956,212/74,829/970

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 15,212,829

Least Common Multiple of Numerators i.e. LCM of 15,212,829 is 2636220.

GCF of Denominators means GCF of 956,74,970 as per the given fractions.

GCF of 956,74,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,212,829

LCM of Fractions 15/956,212/74,829/970 is 1318110

Given numbers has no common factors except 1. So, there LCM is their product i.e 2636220

Least Common Multiple of 15,212,829 with GCF Formula

Least Common Multiple of 15,212,829 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 15,212,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,212,829) = 1

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

GCF(15,212,829) x common factors =1 x 1 = 1

LCM(15,212,829) = ( 15 × 212 × 829 ) / 1

LCM(15,212,829) = 2636220 / 1

LCM(15,212,829) = 2636220


Lets's calculate GCF of 956,74,970

2 956, 74, 970
478, 37, 485

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2636220/2

Therefore the LCM of Fractions 15/956,212/74,829/970 is 1318110

Greatest Common Factor of 956,74,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,74,970 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 956,74,970 . The biggest common factor number is the GCF number.
So the greatest common factor 956,74,970 is 2.


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 15/956, 212/74, 829/970

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 15/956, 212/74, 829/970?

Answer: LCM of Numerators as per given numbers 15/956, 212/74, 829/970 is

LCM of Numerators i.e. for 15,212,829 is 2636220

GCF of denominators i.e. for 956,74,970 is 2.

Thus, LCM of Fractions is 1318110.Finally, LCM of Fractions for 15/956, 212/74, 829/970 is 1318110.