Least Common Multiple of 47/91, 642/97, 504/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/91, 642/97, 504/680 quickly i.e. 2534616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/91, 642/97, 504/680 is 2534616.

LCM(47/91, 642/97, 504/680) = 2534616

LCM of 47/91, 642/97, 504/680

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 47/91,642/97,504/680

Given numbers are 47/91,642/97,504/680

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 47,642,504

Least Common Multiple of Numerators i.e. LCM of 47,642,504 is 2534616.

GCF of Denominators means GCF of 91,97,680 as per the given fractions.

GCF of 91,97,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,642,504

LCM of Fractions 47/91,642/97,504/680 is 2534616

2 47, 642, 504
3 47, 321, 252
47, 107, 84

∴ So the LCM of the given numbers is 2 x 3 x 47 x 107 x 84 = 2534616

Least Common Multiple of 47,642,504 with GCF Formula

Least Common Multiple of 47,642,504 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 47,642,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,642,504) = 1

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

GCF(47,642,504) x common factors =1 x 6 = 6

LCM(47,642,504) = ( 47 × 642 × 504 ) / 6

LCM(47,642,504) = 15207696 / 6

LCM(47,642,504) = 2534616


Lets's calculate GCF of 91,97,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2534616/1

Therefore the LCM of Fractions 47/91,642/97,504/680 is 2534616

Greatest Common Factor of 91,97,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,97,680 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 97

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

1,97

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 91,97,680 . The biggest common factor number is the GCF number.
So the greatest common factor 91,97,680 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 47/91, 642/97, 504/680

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 47/91, 642/97, 504/680?

Answer: LCM of Numerators as per given numbers 47/91, 642/97, 504/680 is

LCM of Numerators i.e. for 47,642,504 is 2534616

GCF of denominators i.e. for 91,97,680 is 1.

Thus, LCM of Fractions is 2534616.Finally, LCM of Fractions for 47/91, 642/97, 504/680 is 2534616.