Least Common Multiple of 60/868, 3045/8552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/868, 3045/8552 quickly i.e. 3045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/868, 3045/8552 is 3045.

LCM(60/868, 3045/8552) = 3045

LCM of 60/868, 3045/8552

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 60/868,3045/8552

Given numbers are 60/868,3045/8552

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 60,3045

Least Common Multiple of Numerators i.e. LCM of 60,3045 is 12180.

GCF of Denominators means GCF of 868,8552 as per the given fractions.

GCF of 868,8552 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,3045

LCM of Fractions 60/868,3045/8552 is 3045

3 60, 3045
5 20, 1015
4, 203

∴ So the LCM of the given numbers is 3 x 5 x 4 x 203 = 12180

Least Common Multiple of 60,3045 with GCF Formula

Least Common Multiple of 60,3045 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 60,3045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3045) = 15

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

GCF(60,3045) x common factors =15 x 1 = 15

LCM(60,3045) = ( 60 × 3045 ) / 15

LCM(60,3045) = 182700 / 15

LCM(60,3045) = 12180


Lets's calculate GCF of 868,8552

2 868, 8552
2 434, 4276
217, 2138

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12180/4

Therefore the LCM of Fractions 60/868,3045/8552 is 3045

Greatest Common Factor of 868,8552 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,8552 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1,2,4,8,1069,2138,4276,8552

Greatest Common Factor

We found the factors 868,8552 . The biggest common factor number is the GCF number.
So the greatest common factor 868,8552 is 4.


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 60/868, 3045/8552

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 60/868, 3045/8552?

Answer: LCM of Numerators as per given numbers 60/868, 3045/8552 is

LCM of Numerators i.e. for 60,3045 is 12180

GCF of denominators i.e. for 868,8552 is 4.

Thus, LCM of Fractions is 3045.Finally, LCM of Fractions for 60/868, 3045/8552 is 3045.