Least Common Multiple of 168/853, 252/592, 135/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/853, 252/592, 135/424 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/853, 252/592, 135/424 is 7560.

LCM(168/853, 252/592, 135/424) = 7560

LCM of 168/853, 252/592, 135/424

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 168/853,252/592,135/424

Given numbers are 168/853,252/592,135/424

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 168,252,135

Least Common Multiple of Numerators i.e. LCM of 168,252,135 is 7560.

GCF of Denominators means GCF of 853,592,424 as per the given fractions.

GCF of 853,592,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,252,135

LCM of Fractions 168/853,252/592,135/424 is 7560

2 168, 252, 135
2 84, 126, 135
3 42, 63, 135
3 14, 21, 45
7 14, 7, 15
2, 1, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 2 x 1 x 15 = 7560

Least Common Multiple of 168,252,135 with GCF Formula

Least Common Multiple of 168,252,135 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 168,252,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,252,135) = 3

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

GCF(168,252,135) x common factors =3 x 252 = 756

LCM(168,252,135) = ( 168 × 252 × 135 ) / 756

LCM(168,252,135) = 5715360 / 756

LCM(168,252,135) = 7560


Lets's calculate GCF of 853,592,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560/1

Therefore the LCM of Fractions 168/853,252/592,135/424 is 7560

Greatest Common Factor of 853,592,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,592,424 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 853,592,424 . The biggest common factor number is the GCF number.
So the greatest common factor 853,592,424 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 168/853, 252/592, 135/424

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 168/853, 252/592, 135/424?

Answer: LCM of Numerators as per given numbers 168/853, 252/592, 135/424 is

LCM of Numerators i.e. for 168,252,135 is 7560

GCF of denominators i.e. for 853,592,424 is 1.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 168/853, 252/592, 135/424 is 7560.