Least Common Multiple of 820/834, 7461/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 820/834, 7461/119 quickly i.e. 6118020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/834, 7461/119 is 6118020.

LCM(820/834, 7461/119) = 6118020

LCM of 820/834, 7461/119

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 820/834,7461/119

Given numbers are 820/834,7461/119

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 820,7461

Least Common Multiple of Numerators i.e. LCM of 820,7461 is 6118020.

GCF of Denominators means GCF of 834,119 as per the given fractions.

GCF of 834,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,7461

LCM of Fractions 820/834,7461/119 is 6118020

Given numbers has no common factors except 1. So, there LCM is their product i.e 6118020

Least Common Multiple of 820,7461 with GCF Formula

Least Common Multiple of 820,7461 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 820,7461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,7461) = 1

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

GCF(820,7461) x common factors =1 x 1 = 1

LCM(820,7461) = ( 820 × 7461 ) / 1

LCM(820,7461) = 6118020 / 1

LCM(820,7461) = 6118020


Lets's calculate GCF of 834,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6118020/1

Therefore the LCM of Fractions 820/834,7461/119 is 6118020

Greatest Common Factor of 834,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,119 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 834,119 . The biggest common factor number is the GCF number.
So the greatest common factor 834,119 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 820/834, 7461/119

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 820/834, 7461/119?

Answer: LCM of Numerators as per given numbers 820/834, 7461/119 is

LCM of Numerators i.e. for 820,7461 is 6118020

GCF of denominators i.e. for 834,119 is 1.

Thus, LCM of Fractions is 6118020.Finally, LCM of Fractions for 820/834, 7461/119 is 6118020.