Least Common Multiple of 48/748, 417/15, 852/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/748, 417/15, 852/268 quickly i.e. 473712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/748, 417/15, 852/268 is 473712.

LCM(48/748, 417/15, 852/268) = 473712

LCM of 48/748, 417/15, 852/268

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 48/748,417/15,852/268

Given numbers are 48/748,417/15,852/268

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 48,417,852

Least Common Multiple of Numerators i.e. LCM of 48,417,852 is 473712.

GCF of Denominators means GCF of 748,15,268 as per the given fractions.

GCF of 748,15,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,417,852

LCM of Fractions 48/748,417/15,852/268 is 473712

2 48, 417, 852
2 24, 417, 426
3 12, 417, 213
4, 139, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 139 x 71 = 473712

Least Common Multiple of 48,417,852 with GCF Formula

Least Common Multiple of 48,417,852 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 48,417,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,417,852) = 3

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

GCF(48,417,852) x common factors =3 x 12 = 36

LCM(48,417,852) = ( 48 × 417 × 852 ) / 36

LCM(48,417,852) = 17053632 / 36

LCM(48,417,852) = 473712


Lets's calculate GCF of 748,15,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473712/1

Therefore the LCM of Fractions 48/748,417/15,852/268 is 473712

Greatest Common Factor of 748,15,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,15,268 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 748,15,268 . The biggest common factor number is the GCF number.
So the greatest common factor 748,15,268 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 48/748, 417/15, 852/268

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 48/748, 417/15, 852/268?

Answer: LCM of Numerators as per given numbers 48/748, 417/15, 852/268 is

LCM of Numerators i.e. for 48,417,852 is 473712

GCF of denominators i.e. for 748,15,268 is 1.

Thus, LCM of Fractions is 473712.Finally, LCM of Fractions for 48/748, 417/15, 852/268 is 473712.