Least Common Multiple of 48/152, 66/956, 151/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/152, 66/956, 151/494 quickly i.e. 39864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/152, 66/956, 151/494 is 39864.

LCM(48/152, 66/956, 151/494) = 39864

LCM of 48/152, 66/956, 151/494

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 48/152,66/956,151/494

Given numbers are 48/152,66/956,151/494

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 48,66,151

Least Common Multiple of Numerators i.e. LCM of 48,66,151 is 79728.

GCF of Denominators means GCF of 152,956,494 as per the given fractions.

GCF of 152,956,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,66,151

LCM of Fractions 48/152,66/956,151/494 is 39864

2 48, 66, 151
3 24, 33, 151
8, 11, 151

∴ So the LCM of the given numbers is 2 x 3 x 8 x 11 x 151 = 79728

Least Common Multiple of 48,66,151 with GCF Formula

Least Common Multiple of 48,66,151 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 48,66,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,66,151) = 1

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

GCF(48,66,151) x common factors =1 x 6 = 6

LCM(48,66,151) = ( 48 × 66 × 151 ) / 6

LCM(48,66,151) = 478368 / 6

LCM(48,66,151) = 79728


Lets's calculate GCF of 152,956,494

2 152, 956, 494
76, 478, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79728/2

Therefore the LCM of Fractions 48/152,66/956,151/494 is 39864

Greatest Common Factor of 152,956,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,956,494 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 152,956,494 . The biggest common factor number is the GCF number.
So the greatest common factor 152,956,494 is 2.


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 48/152, 66/956, 151/494

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 48/152, 66/956, 151/494?

Answer: LCM of Numerators as per given numbers 48/152, 66/956, 151/494 is

LCM of Numerators i.e. for 48,66,151 is 79728

GCF of denominators i.e. for 152,956,494 is 2.

Thus, LCM of Fractions is 39864.Finally, LCM of Fractions for 48/152, 66/956, 151/494 is 39864.