Least Common Multiple of 571/61, 418/78, 319/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/61, 418/78, 319/572 quickly i.e. 6921662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/61, 418/78, 319/572 is 6921662.

LCM(571/61, 418/78, 319/572) = 6921662

LCM of 571/61, 418/78, 319/572

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 571/61,418/78,319/572

Given numbers are 571/61,418/78,319/572

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 571,418,319

Least Common Multiple of Numerators i.e. LCM of 571,418,319 is 6921662.

GCF of Denominators means GCF of 61,78,572 as per the given fractions.

GCF of 61,78,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,418,319

LCM of Fractions 571/61,418/78,319/572 is 6921662

11 571, 418, 319
571, 38, 29

∴ So the LCM of the given numbers is 11 x 571 x 38 x 29 = 6921662

Least Common Multiple of 571,418,319 with GCF Formula

Least Common Multiple of 571,418,319 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 571,418,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,418,319) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(571,418,319) x common factors =1 x 11 = 11

LCM(571,418,319) = ( 571 × 418 × 319 ) / 11

LCM(571,418,319) = 76138282 / 11

LCM(571,418,319) = 6921662


Lets's calculate GCF of 61,78,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6921662/1

Therefore the LCM of Fractions 571/61,418/78,319/572 is 6921662

Greatest Common Factor of 61,78,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,78,572 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 61,78,572 . The biggest common factor number is the GCF number.
So the greatest common factor 61,78,572 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 571/61, 418/78, 319/572

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 571/61, 418/78, 319/572?

Answer: LCM of Numerators as per given numbers 571/61, 418/78, 319/572 is

LCM of Numerators i.e. for 571,418,319 is 6921662

GCF of denominators i.e. for 61,78,572 is 1.

Thus, LCM of Fractions is 6921662.Finally, LCM of Fractions for 571/61, 418/78, 319/572 is 6921662.