Least Common Multiple of 10/601, 135/384, 135/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/601, 135/384, 135/858 quickly i.e. 270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/601, 135/384, 135/858 is 270.

LCM(10/601, 135/384, 135/858) = 270

LCM of 10/601, 135/384, 135/858

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 10/601,135/384,135/858

Given numbers are 10/601,135/384,135/858

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 10,135,135

Least Common Multiple of Numerators i.e. LCM of 10,135,135 is 270.

GCF of Denominators means GCF of 601,384,858 as per the given fractions.

GCF of 601,384,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,135,135

LCM of Fractions 10/601,135/384,135/858 is 270

3 10, 135, 135
3 10, 45, 45
3 10, 15, 15
5 10, 5, 5
2, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 2 x 1 x 1 = 270

Least Common Multiple of 10,135,135 with GCF Formula

Least Common Multiple of 10,135,135 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 10,135,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,135,135) = 5

common factors(in case of two or more numbers have common factors) = 135

GCF(10,135,135) x common factors =5 x 135 = 675

LCM(10,135,135) = ( 10 × 135 × 135 ) / 675

LCM(10,135,135) = 182250 / 675

LCM(10,135,135) = 270


Lets's calculate GCF of 601,384,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270/1

Therefore the LCM of Fractions 10/601,135/384,135/858 is 270

Greatest Common Factor of 601,384,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,384,858 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

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

Greatest Common Factor

We found the factors 601,384,858 . The biggest common factor number is the GCF number.
So the greatest common factor 601,384,858 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 10/601, 135/384, 135/858

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 10/601, 135/384, 135/858?

Answer: LCM of Numerators as per given numbers 10/601, 135/384, 135/858 is

LCM of Numerators i.e. for 10,135,135 is 270

GCF of denominators i.e. for 601,384,858 is 1.

Thus, LCM of Fractions is 270.Finally, LCM of Fractions for 10/601, 135/384, 135/858 is 270.