Least Common Multiple of 60/574, 722/926, 981/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/574, 722/926, 981/387 quickly i.e. 7082820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/574, 722/926, 981/387 is 7082820.

LCM(60/574, 722/926, 981/387) = 7082820

LCM of 60/574, 722/926, 981/387

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 60/574,722/926,981/387

Given numbers are 60/574,722/926,981/387

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 60,722,981

Least Common Multiple of Numerators i.e. LCM of 60,722,981 is 7082820.

GCF of Denominators means GCF of 574,926,387 as per the given fractions.

GCF of 574,926,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,722,981

LCM of Fractions 60/574,722/926,981/387 is 7082820

2 60, 722, 981
3 30, 361, 981
10, 361, 327

∴ So the LCM of the given numbers is 2 x 3 x 10 x 361 x 327 = 7082820

Least Common Multiple of 60,722,981 with GCF Formula

Least Common Multiple of 60,722,981 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 60,722,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,722,981) = 1

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

GCF(60,722,981) x common factors =1 x 6 = 6

LCM(60,722,981) = ( 60 × 722 × 981 ) / 6

LCM(60,722,981) = 42496920 / 6

LCM(60,722,981) = 7082820


Lets's calculate GCF of 574,926,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7082820/1

Therefore the LCM of Fractions 60/574,722/926,981/387 is 7082820

Greatest Common Factor of 574,926,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,926,387 By Matching Biggest Common Factor Method

Factors of 574

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

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

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 574,926,387 . The biggest common factor number is the GCF number.
So the greatest common factor 574,926,387 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 60/574, 722/926, 981/387

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 60/574, 722/926, 981/387?

Answer: LCM of Numerators as per given numbers 60/574, 722/926, 981/387 is

LCM of Numerators i.e. for 60,722,981 is 7082820

GCF of denominators i.e. for 574,926,387 is 1.

Thus, LCM of Fractions is 7082820.Finally, LCM of Fractions for 60/574, 722/926, 981/387 is 7082820.