Least Common Multiple of 661/42, 302/35, 731/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 661/42, 302/35, 731/270 quickly i.e. 145923682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/42, 302/35, 731/270 is 145923682.

LCM(661/42, 302/35, 731/270) = 145923682

LCM of 661/42, 302/35, 731/270

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 661/42,302/35,731/270

Given numbers are 661/42,302/35,731/270

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 661,302,731

Least Common Multiple of Numerators i.e. LCM of 661,302,731 is 145923682.

GCF of Denominators means GCF of 42,35,270 as per the given fractions.

GCF of 42,35,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,302,731

LCM of Fractions 661/42,302/35,731/270 is 145923682

Given numbers has no common factors except 1. So, there LCM is their product i.e 145923682

Least Common Multiple of 661,302,731 with GCF Formula

Least Common Multiple of 661,302,731 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 661,302,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,302,731) = 1

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

GCF(661,302,731) x common factors =1 x 1 = 1

LCM(661,302,731) = ( 661 × 302 × 731 ) / 1

LCM(661,302,731) = 145923682 / 1

LCM(661,302,731) = 145923682


Lets's calculate GCF of 42,35,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145923682/1

Therefore the LCM of Fractions 661/42,302/35,731/270 is 145923682

Greatest Common Factor of 42,35,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,35,270 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 42,35,270 . The biggest common factor number is the GCF number.
So the greatest common factor 42,35,270 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 661/42, 302/35, 731/270

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 661/42, 302/35, 731/270?

Answer: LCM of Numerators as per given numbers 661/42, 302/35, 731/270 is

LCM of Numerators i.e. for 661,302,731 is 145923682

GCF of denominators i.e. for 42,35,270 is 1.

Thus, LCM of Fractions is 145923682.Finally, LCM of Fractions for 661/42, 302/35, 731/270 is 145923682.