Least Common Multiple of 84/70, 252/10, 135/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/70, 252/10, 135/355 quickly i.e. 756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/70, 252/10, 135/355 is 756.

LCM(84/70, 252/10, 135/355) = 756

LCM of 84/70, 252/10, 135/355

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 84/70,252/10,135/355

Given numbers are 84/70,252/10,135/355

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 84,252,135

Least Common Multiple of Numerators i.e. LCM of 84,252,135 is 3780.

GCF of Denominators means GCF of 70,10,355 as per the given fractions.

GCF of 70,10,355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,252,135

LCM of Fractions 84/70,252/10,135/355 is 756

2 84, 252, 135
2 42, 126, 135
3 21, 63, 135
3 7, 21, 45
7 7, 7, 15
1, 1, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 1 x 15 = 3780

Least Common Multiple of 84,252,135 with GCF Formula

Least Common Multiple of 84,252,135 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 84,252,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,252,135) = 3

common factors(in case of two or more numbers have common factors) = 252

GCF(84,252,135) x common factors =3 x 252 = 756

LCM(84,252,135) = ( 84 × 252 × 135 ) / 756

LCM(84,252,135) = 2857680 / 756

LCM(84,252,135) = 3780


Lets's calculate GCF of 70,10,355

5 70, 10, 355
14, 2, 71

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3780/5

Therefore the LCM of Fractions 84/70,252/10,135/355 is 756

Greatest Common Factor of 70,10,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,10,355 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 70,10,355 . The biggest common factor number is the GCF number.
So the greatest common factor 70,10,355 is 5.


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 84/70, 252/10, 135/355

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 84/70, 252/10, 135/355?

Answer: LCM of Numerators as per given numbers 84/70, 252/10, 135/355 is

LCM of Numerators i.e. for 84,252,135 is 3780

GCF of denominators i.e. for 70,10,355 is 5.

Thus, LCM of Fractions is 756.Finally, LCM of Fractions for 84/70, 252/10, 135/355 is 756.