Least Common Multiple of 82/214, 837/870, 121/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/214, 837/870, 121/404 quickly i.e. 4152357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/214, 837/870, 121/404 is 4152357.

LCM(82/214, 837/870, 121/404) = 4152357

LCM of 82/214, 837/870, 121/404

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 82/214,837/870,121/404

Given numbers are 82/214,837/870,121/404

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 82,837,121

Least Common Multiple of Numerators i.e. LCM of 82,837,121 is 8304714.

GCF of Denominators means GCF of 214,870,404 as per the given fractions.

GCF of 214,870,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,837,121

LCM of Fractions 82/214,837/870,121/404 is 4152357

Given numbers has no common factors except 1. So, there LCM is their product i.e 8304714

Least Common Multiple of 82,837,121 with GCF Formula

Least Common Multiple of 82,837,121 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 82,837,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,837,121) = 1

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

GCF(82,837,121) x common factors =1 x 1 = 1

LCM(82,837,121) = ( 82 × 837 × 121 ) / 1

LCM(82,837,121) = 8304714 / 1

LCM(82,837,121) = 8304714


Lets's calculate GCF of 214,870,404

2 214, 870, 404
107, 435, 202

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8304714/2

Therefore the LCM of Fractions 82/214,837/870,121/404 is 4152357

Greatest Common Factor of 214,870,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,870,404 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 214,870,404 . The biggest common factor number is the GCF number.
So the greatest common factor 214,870,404 is 2.


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 82/214, 837/870, 121/404

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 82/214, 837/870, 121/404?

Answer: LCM of Numerators as per given numbers 82/214, 837/870, 121/404 is

LCM of Numerators i.e. for 82,837,121 is 8304714

GCF of denominators i.e. for 214,870,404 is 2.

Thus, LCM of Fractions is 4152357.Finally, LCM of Fractions for 82/214, 837/870, 121/404 is 4152357.