Least Common Multiple of 521/91, 738/10, 208/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/91, 738/10, 208/574 quickly i.e. 39987792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/91, 738/10, 208/574 is 39987792.

LCM(521/91, 738/10, 208/574) = 39987792

LCM of 521/91, 738/10, 208/574

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 521/91,738/10,208/574

Given numbers are 521/91,738/10,208/574

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 521,738,208

Least Common Multiple of Numerators i.e. LCM of 521,738,208 is 39987792.

GCF of Denominators means GCF of 91,10,574 as per the given fractions.

GCF of 91,10,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,738,208

LCM of Fractions 521/91,738/10,208/574 is 39987792

2 521, 738, 208
521, 369, 104

∴ So the LCM of the given numbers is 2 x 521 x 369 x 104 = 39987792

Least Common Multiple of 521,738,208 with GCF Formula

Least Common Multiple of 521,738,208 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 521,738,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,738,208) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(521,738,208) x common factors =1 x 2 = 2

LCM(521,738,208) = ( 521 × 738 × 208 ) / 2

LCM(521,738,208) = 79975584 / 2

LCM(521,738,208) = 39987792


Lets's calculate GCF of 91,10,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39987792/1

Therefore the LCM of Fractions 521/91,738/10,208/574 is 39987792

Greatest Common Factor of 91,10,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,10,574 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 91,10,574 . The biggest common factor number is the GCF number.
So the greatest common factor 91,10,574 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 521/91, 738/10, 208/574

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 521/91, 738/10, 208/574?

Answer: LCM of Numerators as per given numbers 521/91, 738/10, 208/574 is

LCM of Numerators i.e. for 521,738,208 is 39987792

GCF of denominators i.e. for 91,10,574 is 1.

Thus, LCM of Fractions is 39987792.Finally, LCM of Fractions for 521/91, 738/10, 208/574 is 39987792.