Least Common Multiple of 304/162, 4242/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/162, 4242/708 quickly i.e. 107464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/162, 4242/708 is 107464.

LCM(304/162, 4242/708) = 107464

LCM of 304/162, 4242/708

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 304/162,4242/708

Given numbers are 304/162,4242/708

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 304,4242

Least Common Multiple of Numerators i.e. LCM of 304,4242 is 644784.

GCF of Denominators means GCF of 162,708 as per the given fractions.

GCF of 162,708 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,4242

LCM of Fractions 304/162,4242/708 is 107464

2 304, 4242
152, 2121

∴ So the LCM of the given numbers is 2 x 152 x 2121 = 644784

Least Common Multiple of 304,4242 with GCF Formula

Least Common Multiple of 304,4242 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 304,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,4242) = 2

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

GCF(304,4242) x common factors =2 x 1 = 2

LCM(304,4242) = ( 304 × 4242 ) / 2

LCM(304,4242) = 1289568 / 2

LCM(304,4242) = 644784


Lets's calculate GCF of 162,708

2 162, 708
3 81, 354
27, 118

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644784/6

Therefore the LCM of Fractions 304/162,4242/708 is 107464

Greatest Common Factor of 162,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,708 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 162,708 . The biggest common factor number is the GCF number.
So the greatest common factor 162,708 is 6.


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 304/162, 4242/708

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 304/162, 4242/708?

Answer: LCM of Numerators as per given numbers 304/162, 4242/708 is

LCM of Numerators i.e. for 304,4242 is 644784

GCF of denominators i.e. for 162,708 is 6.

Thus, LCM of Fractions is 107464.Finally, LCM of Fractions for 304/162, 4242/708 is 107464.