Least Common Multiple of 30/732, 61/221, 264/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/732, 61/221, 264/570 quickly i.e. 80520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/732, 61/221, 264/570 is 80520.

LCM(30/732, 61/221, 264/570) = 80520

LCM of 30/732, 61/221, 264/570

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 30/732,61/221,264/570

Given numbers are 30/732,61/221,264/570

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 30,61,264

Least Common Multiple of Numerators i.e. LCM of 30,61,264 is 80520.

GCF of Denominators means GCF of 732,221,570 as per the given fractions.

GCF of 732,221,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,61,264

LCM of Fractions 30/732,61/221,264/570 is 80520

2 30, 61, 264
3 15, 61, 132
5, 61, 44

∴ So the LCM of the given numbers is 2 x 3 x 5 x 61 x 44 = 80520

Least Common Multiple of 30,61,264 with GCF Formula

Least Common Multiple of 30,61,264 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 30,61,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,61,264) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,61,264) x common factors =1 x 6 = 6

LCM(30,61,264) = ( 30 × 61 × 264 ) / 6

LCM(30,61,264) = 483120 / 6

LCM(30,61,264) = 80520


Lets's calculate GCF of 732,221,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80520/1

Therefore the LCM of Fractions 30/732,61/221,264/570 is 80520

Greatest Common Factor of 732,221,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,221,570 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 732,221,570 . The biggest common factor number is the GCF number.
So the greatest common factor 732,221,570 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 30/732, 61/221, 264/570

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 30/732, 61/221, 264/570?

Answer: LCM of Numerators as per given numbers 30/732, 61/221, 264/570 is

LCM of Numerators i.e. for 30,61,264 is 80520

GCF of denominators i.e. for 732,221,570 is 1.

Thus, LCM of Fractions is 80520.Finally, LCM of Fractions for 30/732, 61/221, 264/570 is 80520.