Least Common Multiple of 157/70, 828/2933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 157/70, 828/2933 quickly i.e. 129996/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/70, 828/2933 is 129996/7.

LCM(157/70, 828/2933) = 129996/7

LCM of 157/70, 828/2933

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 157/70,828/2933

Given numbers are 157/70,828/2933

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 157,828

Least Common Multiple of Numerators i.e. LCM of 157,828 is 129996.

GCF of Denominators means GCF of 70,2933 as per the given fractions.

GCF of 70,2933 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,828

LCM of Fractions 157/70,828/2933 is 129996/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 129996

Least Common Multiple of 157,828 with GCF Formula

Least Common Multiple of 157,828 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 157,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,828) = 1

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

GCF(157,828) x common factors =1 x 1 = 1

LCM(157,828) = ( 157 × 828 ) / 1

LCM(157,828) = 129996 / 1

LCM(157,828) = 129996


Lets's calculate GCF of 70,2933

7 70, 2933
10, 419

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129996/7

Therefore the LCM of Fractions 157/70,828/2933 is 129996/7

Greatest Common Factor of 70,2933 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,2933 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 2933

List of positive integer factors of 2933 that divides 2933 without a remainder.

1,7,419,2933

Greatest Common Factor

We found the factors 70,2933 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2933 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 157/70, 828/2933

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 157/70, 828/2933?

Answer: LCM of Numerators as per given numbers 157/70, 828/2933 is

LCM of Numerators i.e. for 157,828 is 129996

GCF of denominators i.e. for 70,2933 is 7.

Thus, LCM of Fractions is 129996/7.Finally, LCM of Fractions for 157/70, 828/2933 is 129996/7.