Least Common Multiple of 210/36, 964/83, 418/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/36, 964/83, 418/137 quickly i.e. 21154980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/36, 964/83, 418/137 is 21154980.

LCM(210/36, 964/83, 418/137) = 21154980

LCM of 210/36, 964/83, 418/137

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 210/36,964/83,418/137

Given numbers are 210/36,964/83,418/137

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 210,964,418

Least Common Multiple of Numerators i.e. LCM of 210,964,418 is 21154980.

GCF of Denominators means GCF of 36,83,137 as per the given fractions.

GCF of 36,83,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,964,418

LCM of Fractions 210/36,964/83,418/137 is 21154980

2 210, 964, 418
105, 482, 209

∴ So the LCM of the given numbers is 2 x 105 x 482 x 209 = 21154980

Least Common Multiple of 210,964,418 with GCF Formula

Least Common Multiple of 210,964,418 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 210,964,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,964,418) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(210,964,418) x common factors =2 x 2 = 4

LCM(210,964,418) = ( 210 × 964 × 418 ) / 4

LCM(210,964,418) = 84619920 / 4

LCM(210,964,418) = 21154980


Lets's calculate GCF of 36,83,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21154980/1

Therefore the LCM of Fractions 210/36,964/83,418/137 is 21154980

Greatest Common Factor of 36,83,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,83,137 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 36,83,137 . The biggest common factor number is the GCF number.
So the greatest common factor 36,83,137 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 210/36, 964/83, 418/137

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 210/36, 964/83, 418/137?

Answer: LCM of Numerators as per given numbers 210/36, 964/83, 418/137 is

LCM of Numerators i.e. for 210,964,418 is 21154980

GCF of denominators i.e. for 36,83,137 is 1.

Thus, LCM of Fractions is 21154980.Finally, LCM of Fractions for 210/36, 964/83, 418/137 is 21154980.