Least Common Multiple of 122/25, 8356/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/25, 8356/982 quickly i.e. 509716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/25, 8356/982 is 509716.

LCM(122/25, 8356/982) = 509716

LCM of 122/25, 8356/982

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 122/25,8356/982

Given numbers are 122/25,8356/982

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 122,8356

Least Common Multiple of Numerators i.e. LCM of 122,8356 is 509716.

GCF of Denominators means GCF of 25,982 as per the given fractions.

GCF of 25,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,8356

LCM of Fractions 122/25,8356/982 is 509716

2 122, 8356
61, 4178

∴ So the LCM of the given numbers is 2 x 61 x 4178 = 509716

Least Common Multiple of 122,8356 with GCF Formula

Least Common Multiple of 122,8356 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 122,8356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,8356) = 2

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

GCF(122,8356) x common factors =2 x 1 = 2

LCM(122,8356) = ( 122 × 8356 ) / 2

LCM(122,8356) = 1019432 / 2

LCM(122,8356) = 509716


Lets's calculate GCF of 25,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509716/1

Therefore the LCM of Fractions 122/25,8356/982 is 509716

Greatest Common Factor of 25,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,982 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 25,982 . The biggest common factor number is the GCF number.
So the greatest common factor 25,982 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 122/25, 8356/982

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 122/25, 8356/982?

Answer: LCM of Numerators as per given numbers 122/25, 8356/982 is

LCM of Numerators i.e. for 122,8356 is 509716

GCF of denominators i.e. for 25,982 is 1.

Thus, LCM of Fractions is 509716.Finally, LCM of Fractions for 122/25, 8356/982 is 509716.