Least Common Multiple of 30/60, 60/297, 712/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/60, 60/297, 712/165 quickly i.e. 3560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/60, 60/297, 712/165 is 3560.

LCM(30/60, 60/297, 712/165) = 3560

LCM of 30/60, 60/297, 712/165

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 30/60,60/297,712/165

Given numbers are 30/60,60/297,712/165

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 30,60,712

Least Common Multiple of Numerators i.e. LCM of 30,60,712 is 10680.

GCF of Denominators means GCF of 60,297,165 as per the given fractions.

GCF of 60,297,165 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,60,712

LCM of Fractions 30/60,60/297,712/165 is 3560

2 30, 60, 712
2 15, 30, 356
3 15, 15, 178
5 5, 5, 178
1, 1, 178

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 178 = 10680

Least Common Multiple of 30,60,712 with GCF Formula

Least Common Multiple of 30,60,712 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 30,60,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,60,712) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(30,60,712) x common factors =2 x 60 = 120

LCM(30,60,712) = ( 30 × 60 × 712 ) / 120

LCM(30,60,712) = 1281600 / 120

LCM(30,60,712) = 10680


Lets's calculate GCF of 60,297,165

3 60, 297, 165
20, 99, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10680/3

Therefore the LCM of Fractions 30/60,60/297,712/165 is 3560

Greatest Common Factor of 60,297,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,297,165 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 60,297,165 . The biggest common factor number is the GCF number.
So the greatest common factor 60,297,165 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 30/60, 60/297, 712/165

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 30/60, 60/297, 712/165?

Answer: LCM of Numerators as per given numbers 30/60, 60/297, 712/165 is

LCM of Numerators i.e. for 30,60,712 is 10680

GCF of denominators i.e. for 60,297,165 is 3.

Thus, LCM of Fractions is 3560.Finally, LCM of Fractions for 30/60, 60/297, 712/165 is 3560.