Least Common Multiple of 135/147, 579/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/147, 579/607 quickly i.e. 26055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/147, 579/607 is 26055.

LCM(135/147, 579/607) = 26055

LCM of 135/147, 579/607

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 135/147,579/607

Given numbers are 135/147,579/607

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 135,579

Least Common Multiple of Numerators i.e. LCM of 135,579 is 26055.

GCF of Denominators means GCF of 147,607 as per the given fractions.

GCF of 147,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,579

LCM of Fractions 135/147,579/607 is 26055

3 135, 579
45, 193

∴ So the LCM of the given numbers is 3 x 45 x 193 = 26055

Least Common Multiple of 135,579 with GCF Formula

Least Common Multiple of 135,579 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 135,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,579) = 3

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

GCF(135,579) x common factors =3 x 1 = 3

LCM(135,579) = ( 135 × 579 ) / 3

LCM(135,579) = 78165 / 3

LCM(135,579) = 26055


Lets's calculate GCF of 147,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26055/1

Therefore the LCM of Fractions 135/147,579/607 is 26055

Greatest Common Factor of 147,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,607 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 147,607 . The biggest common factor number is the GCF number.
So the greatest common factor 147,607 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 135/147, 579/607

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 135/147, 579/607?

Answer: LCM of Numerators as per given numbers 135/147, 579/607 is

LCM of Numerators i.e. for 135,579 is 26055

GCF of denominators i.e. for 147,607 is 1.

Thus, LCM of Fractions is 26055.Finally, LCM of Fractions for 135/147, 579/607 is 26055.