Least Common Multiple of 122/157, 826/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/157, 826/700 quickly i.e. 50386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/157, 826/700 is 50386.

LCM(122/157, 826/700) = 50386

LCM of 122/157, 826/700

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 122/157,826/700

Given numbers are 122/157,826/700

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 122,826

Least Common Multiple of Numerators i.e. LCM of 122,826 is 50386.

GCF of Denominators means GCF of 157,700 as per the given fractions.

GCF of 157,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,826

LCM of Fractions 122/157,826/700 is 50386

2 122, 826
61, 413

∴ So the LCM of the given numbers is 2 x 61 x 413 = 50386

Least Common Multiple of 122,826 with GCF Formula

Least Common Multiple of 122,826 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 122,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,826) = 2

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

GCF(122,826) x common factors =2 x 1 = 2

LCM(122,826) = ( 122 × 826 ) / 2

LCM(122,826) = 100772 / 2

LCM(122,826) = 50386


Lets's calculate GCF of 157,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50386/1

Therefore the LCM of Fractions 122/157,826/700 is 50386

Greatest Common Factor of 157,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,700 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 157,700 . The biggest common factor number is the GCF number.
So the greatest common factor 157,700 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 122/157, 826/700

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 122/157, 826/700?

Answer: LCM of Numerators as per given numbers 122/157, 826/700 is

LCM of Numerators i.e. for 122,826 is 50386

GCF of denominators i.e. for 157,700 is 1.

Thus, LCM of Fractions is 50386.Finally, LCM of Fractions for 122/157, 826/700 is 50386.