Least Common Multiple of 84/187, 21/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/187, 21/935 quickly i.e. 84/187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/187, 21/935 is 84/187.

LCM(84/187, 21/935) = 84/187

LCM of 84/187, 21/935

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 84/187,21/935

Given numbers are 84/187,21/935

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 84,21

Least Common Multiple of Numerators i.e. LCM of 84,21 is 84.

GCF of Denominators means GCF of 187,935 as per the given fractions.

GCF of 187,935 is 187 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,21

LCM of Fractions 84/187,21/935 is 84/187

3 84, 21
7 28, 7
4, 1

∴ So the LCM of the given numbers is 3 x 7 x 4 x 1 = 84

Least Common Multiple of 84,21 with GCF Formula

Least Common Multiple of 84,21 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 84,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,21) = 21

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

GCF(84,21) x common factors =21 x 1 = 21

LCM(84,21) = ( 84 × 21 ) / 21

LCM(84,21) = 1764 / 21

LCM(84,21) = 84


Lets's calculate GCF of 187,935

11 187, 935
17 17, 85
1, 5

∴ So the GCF of the given numbers is 11 x 17 = 187

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84/187

Therefore the LCM of Fractions 84/187,21/935 is 84/187

Greatest Common Factor of 187,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,935 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 187,935 . The biggest common factor number is the GCF number.
So the greatest common factor 187,935 is 187.


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 84/187, 21/935

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 84/187, 21/935?

Answer: LCM of Numerators as per given numbers 84/187, 21/935 is

LCM of Numerators i.e. for 84,21 is 84

GCF of denominators i.e. for 187,935 is 187.

Thus, LCM of Fractions is 84/187.Finally, LCM of Fractions for 84/187, 21/935 is 84/187.