Least Common Multiple of 39/153, 76/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/153, 76/442 quickly i.e. 2964/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/153, 76/442 is 2964/17.

LCM(39/153, 76/442) = 2964/17

LCM of 39/153, 76/442

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 39/153,76/442

Given numbers are 39/153,76/442

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 39,76

Least Common Multiple of Numerators i.e. LCM of 39,76 is 2964.

GCF of Denominators means GCF of 153,442 as per the given fractions.

GCF of 153,442 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,76

LCM of Fractions 39/153,76/442 is 2964/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 2964

Least Common Multiple of 39,76 with GCF Formula

Least Common Multiple of 39,76 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 39,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,76) = 1

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

GCF(39,76) x common factors =1 x 1 = 1

LCM(39,76) = ( 39 × 76 ) / 1

LCM(39,76) = 2964 / 1

LCM(39,76) = 2964


Lets's calculate GCF of 153,442

17 153, 442
9, 26

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2964/17

Therefore the LCM of Fractions 39/153,76/442 is 2964/17

Greatest Common Factor of 153,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,442 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 153,442 . The biggest common factor number is the GCF number.
So the greatest common factor 153,442 is 17.


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 39/153, 76/442

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 39/153, 76/442?

Answer: LCM of Numerators as per given numbers 39/153, 76/442 is

LCM of Numerators i.e. for 39,76 is 2964

GCF of denominators i.e. for 153,442 is 17.

Thus, LCM of Fractions is 2964/17.Finally, LCM of Fractions for 39/153, 76/442 is 2964/17.