Least Common Multiple of 708/704, 489/482, 994/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/704, 489/482, 994/242 quickly i.e. 28677894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/704, 489/482, 994/242 is 28677894.

LCM(708/704, 489/482, 994/242) = 28677894

LCM of 708/704, 489/482, 994/242

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 708/704,489/482,994/242

Given numbers are 708/704,489/482,994/242

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 708,489,994

Least Common Multiple of Numerators i.e. LCM of 708,489,994 is 57355788.

GCF of Denominators means GCF of 704,482,242 as per the given fractions.

GCF of 704,482,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,489,994

LCM of Fractions 708/704,489/482,994/242 is 28677894

2 708, 489, 994
3 354, 489, 497
118, 163, 497

∴ So the LCM of the given numbers is 2 x 3 x 118 x 163 x 497 = 57355788

Least Common Multiple of 708,489,994 with GCF Formula

Least Common Multiple of 708,489,994 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 708,489,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,489,994) = 1

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

GCF(708,489,994) x common factors =1 x 6 = 6

LCM(708,489,994) = ( 708 × 489 × 994 ) / 6

LCM(708,489,994) = 344134728 / 6

LCM(708,489,994) = 57355788


Lets's calculate GCF of 704,482,242

2 704, 482, 242
352, 241, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57355788/2

Therefore the LCM of Fractions 708/704,489/482,994/242 is 28677894

Greatest Common Factor of 704,482,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,482,242 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 704,482,242 . The biggest common factor number is the GCF number.
So the greatest common factor 704,482,242 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 708/704, 489/482, 994/242

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 708/704, 489/482, 994/242?

Answer: LCM of Numerators as per given numbers 708/704, 489/482, 994/242 is

LCM of Numerators i.e. for 708,489,994 is 57355788

GCF of denominators i.e. for 704,482,242 is 2.

Thus, LCM of Fractions is 28677894.Finally, LCM of Fractions for 708/704, 489/482, 994/242 is 28677894.