Least Common Multiple of 270/36, 701/1947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/36, 701/1947 quickly i.e. 63090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/36, 701/1947 is 63090.

LCM(270/36, 701/1947) = 63090

LCM of 270/36, 701/1947

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 270/36,701/1947

Given numbers are 270/36,701/1947

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 270,701

Least Common Multiple of Numerators i.e. LCM of 270,701 is 189270.

GCF of Denominators means GCF of 36,1947 as per the given fractions.

GCF of 36,1947 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,701

LCM of Fractions 270/36,701/1947 is 63090

Given numbers has no common factors except 1. So, there LCM is their product i.e 189270

Least Common Multiple of 270,701 with GCF Formula

Least Common Multiple of 270,701 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 270,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,701) = 1

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

GCF(270,701) x common factors =1 x 1 = 1

LCM(270,701) = ( 270 × 701 ) / 1

LCM(270,701) = 189270 / 1

LCM(270,701) = 189270


Lets's calculate GCF of 36,1947

3 36, 1947
12, 649

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189270/3

Therefore the LCM of Fractions 270/36,701/1947 is 63090

Greatest Common Factor of 36,1947 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1947 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 1947

List of positive integer factors of 1947 that divides 1947 without a remainder.

1,3,11,33,59,177,649,1947

Greatest Common Factor

We found the factors 36,1947 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1947 is 3.


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 270/36, 701/1947

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 270/36, 701/1947?

Answer: LCM of Numerators as per given numbers 270/36, 701/1947 is

LCM of Numerators i.e. for 270,701 is 189270

GCF of denominators i.e. for 36,1947 is 3.

Thus, LCM of Fractions is 63090.Finally, LCM of Fractions for 270/36, 701/1947 is 63090.