Least Common Multiple of 291/42, 804/97, 728/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/42, 804/97, 728/704 quickly i.e. 14193816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/42, 804/97, 728/704 is 14193816.

LCM(291/42, 804/97, 728/704) = 14193816

LCM of 291/42, 804/97, 728/704

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 291/42,804/97,728/704

Given numbers are 291/42,804/97,728/704

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 291,804,728

Least Common Multiple of Numerators i.e. LCM of 291,804,728 is 14193816.

GCF of Denominators means GCF of 42,97,704 as per the given fractions.

GCF of 42,97,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,804,728

LCM of Fractions 291/42,804/97,728/704 is 14193816

2 291, 804, 728
2 291, 402, 364
3 291, 201, 182
97, 67, 182

∴ So the LCM of the given numbers is 2 x 2 x 3 x 97 x 67 x 182 = 14193816

Least Common Multiple of 291,804,728 with GCF Formula

Least Common Multiple of 291,804,728 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 291,804,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,804,728) = 1

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

GCF(291,804,728) x common factors =1 x 12 = 12

LCM(291,804,728) = ( 291 × 804 × 728 ) / 12

LCM(291,804,728) = 170325792 / 12

LCM(291,804,728) = 14193816


Lets's calculate GCF of 42,97,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14193816/1

Therefore the LCM of Fractions 291/42,804/97,728/704 is 14193816

Greatest Common Factor of 42,97,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,97,704 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

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

Greatest Common Factor

We found the factors 42,97,704 . The biggest common factor number is the GCF number.
So the greatest common factor 42,97,704 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 291/42, 804/97, 728/704

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 291/42, 804/97, 728/704?

Answer: LCM of Numerators as per given numbers 291/42, 804/97, 728/704 is

LCM of Numerators i.e. for 291,804,728 is 14193816

GCF of denominators i.e. for 42,97,704 is 1.

Thus, LCM of Fractions is 14193816.Finally, LCM of Fractions for 291/42, 804/97, 728/704 is 14193816.