Least Common Multiple of 135/858, 428/746, 921/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/858, 428/746, 921/536 quickly i.e. 8869230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/858, 428/746, 921/536 is 8869230.

LCM(135/858, 428/746, 921/536) = 8869230

LCM of 135/858, 428/746, 921/536

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 135/858,428/746,921/536

Given numbers are 135/858,428/746,921/536

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 135,428,921

Least Common Multiple of Numerators i.e. LCM of 135,428,921 is 17738460.

GCF of Denominators means GCF of 858,746,536 as per the given fractions.

GCF of 858,746,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,428,921

LCM of Fractions 135/858,428/746,921/536 is 8869230

3 135, 428, 921
45, 428, 307

∴ So the LCM of the given numbers is 3 x 45 x 428 x 307 = 17738460

Least Common Multiple of 135,428,921 with GCF Formula

Least Common Multiple of 135,428,921 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 135,428,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,428,921) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(135,428,921) x common factors =1 x 3 = 3

LCM(135,428,921) = ( 135 × 428 × 921 ) / 3

LCM(135,428,921) = 53215380 / 3

LCM(135,428,921) = 17738460


Lets's calculate GCF of 858,746,536

2 858, 746, 536
429, 373, 268

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17738460/2

Therefore the LCM of Fractions 135/858,428/746,921/536 is 8869230

Greatest Common Factor of 858,746,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,746,536 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 858,746,536 . The biggest common factor number is the GCF number.
So the greatest common factor 858,746,536 is 2.


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 135/858, 428/746, 921/536

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 135/858, 428/746, 921/536?

Answer: LCM of Numerators as per given numbers 135/858, 428/746, 921/536 is

LCM of Numerators i.e. for 135,428,921 is 17738460

GCF of denominators i.e. for 858,746,536 is 2.

Thus, LCM of Fractions is 8869230.Finally, LCM of Fractions for 135/858, 428/746, 921/536 is 8869230.