Least Common Multiple of 60/22, 12/88, 914/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/22, 12/88, 914/913 quickly i.e. 27420/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/22, 12/88, 914/913 is 27420/11.

LCM(60/22, 12/88, 914/913) = 27420/11

LCM of 60/22, 12/88, 914/913

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 60/22,12/88,914/913

Given numbers are 60/22,12/88,914/913

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 60,12,914

Least Common Multiple of Numerators i.e. LCM of 60,12,914 is 27420.

GCF of Denominators means GCF of 22,88,913 as per the given fractions.

GCF of 22,88,913 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,12,914

LCM of Fractions 60/22,12/88,914/913 is 27420/11

2 60, 12, 914
2 30, 6, 457
3 15, 3, 457
5, 1, 457

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 457 = 27420

Least Common Multiple of 60,12,914 with GCF Formula

Least Common Multiple of 60,12,914 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 60,12,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,12,914) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(60,12,914) x common factors =2 x 12 = 24

LCM(60,12,914) = ( 60 × 12 × 914 ) / 24

LCM(60,12,914) = 658080 / 24

LCM(60,12,914) = 27420


Lets's calculate GCF of 22,88,913

11 22, 88, 913
2, 8, 83

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27420/11

Therefore the LCM of Fractions 60/22,12/88,914/913 is 27420/11

Greatest Common Factor of 22,88,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,88,913 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 22,88,913 . The biggest common factor number is the GCF number.
So the greatest common factor 22,88,913 is 11.


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 60/22, 12/88, 914/913

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 60/22, 12/88, 914/913?

Answer: LCM of Numerators as per given numbers 60/22, 12/88, 914/913 is

LCM of Numerators i.e. for 60,12,914 is 27420

GCF of denominators i.e. for 22,88,913 is 11.

Thus, LCM of Fractions is 27420/11.Finally, LCM of Fractions for 60/22, 12/88, 914/913 is 27420/11.