Least Common Multiple of 84/237, 536/759, 201/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/237, 536/759, 201/716 quickly i.e. 11256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/237, 536/759, 201/716 is 11256.

LCM(84/237, 536/759, 201/716) = 11256

LCM of 84/237, 536/759, 201/716

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 84/237,536/759,201/716

Given numbers are 84/237,536/759,201/716

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 84,536,201

Least Common Multiple of Numerators i.e. LCM of 84,536,201 is 11256.

GCF of Denominators means GCF of 237,759,716 as per the given fractions.

GCF of 237,759,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,536,201

LCM of Fractions 84/237,536/759,201/716 is 11256

2 84, 536, 201
2 42, 268, 201
3 21, 134, 201
67 7, 134, 67
7, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 7 x 2 x 1 = 11256

Least Common Multiple of 84,536,201 with GCF Formula

Least Common Multiple of 84,536,201 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 84,536,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,536,201) = 1

common factors(in case of two or more numbers have common factors) = 804

GCF(84,536,201) x common factors =1 x 804 = 804

LCM(84,536,201) = ( 84 × 536 × 201 ) / 804

LCM(84,536,201) = 9049824 / 804

LCM(84,536,201) = 11256


Lets's calculate GCF of 237,759,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11256/1

Therefore the LCM of Fractions 84/237,536/759,201/716 is 11256

Greatest Common Factor of 237,759,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,759,716 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 237,759,716 . The biggest common factor number is the GCF number.
So the greatest common factor 237,759,716 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 84/237, 536/759, 201/716

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 84/237, 536/759, 201/716?

Answer: LCM of Numerators as per given numbers 84/237, 536/759, 201/716 is

LCM of Numerators i.e. for 84,536,201 is 11256

GCF of denominators i.e. for 237,759,716 is 1.

Thus, LCM of Fractions is 11256.Finally, LCM of Fractions for 84/237, 536/759, 201/716 is 11256.