Least Common Multiple of 114/842, 7621/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/842, 7621/859 quickly i.e. 868794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/842, 7621/859 is 868794.

LCM(114/842, 7621/859) = 868794

LCM of 114/842, 7621/859

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 114/842,7621/859

Given numbers are 114/842,7621/859

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 114,7621

Least Common Multiple of Numerators i.e. LCM of 114,7621 is 868794.

GCF of Denominators means GCF of 842,859 as per the given fractions.

GCF of 842,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,7621

LCM of Fractions 114/842,7621/859 is 868794

Given numbers has no common factors except 1. So, there LCM is their product i.e 868794

Least Common Multiple of 114,7621 with GCF Formula

Least Common Multiple of 114,7621 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 114,7621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,7621) = 1

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

GCF(114,7621) x common factors =1 x 1 = 1

LCM(114,7621) = ( 114 × 7621 ) / 1

LCM(114,7621) = 868794 / 1

LCM(114,7621) = 868794


Lets's calculate GCF of 842,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 868794/1

Therefore the LCM of Fractions 114/842,7621/859 is 868794

Greatest Common Factor of 842,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,859 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 842,859 . The biggest common factor number is the GCF number.
So the greatest common factor 842,859 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 114/842, 7621/859

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 114/842, 7621/859?

Answer: LCM of Numerators as per given numbers 114/842, 7621/859 is

LCM of Numerators i.e. for 114,7621 is 868794

GCF of denominators i.e. for 842,859 is 1.

Thus, LCM of Fractions is 868794.Finally, LCM of Fractions for 114/842, 7621/859 is 868794.