Least Common Multiple of 873/21, 553/15, 647/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/21, 553/15, 647/577 quickly i.e. 312351543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/21, 553/15, 647/577 is 312351543.

LCM(873/21, 553/15, 647/577) = 312351543

LCM of 873/21, 553/15, 647/577

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 873/21,553/15,647/577

Given numbers are 873/21,553/15,647/577

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 873,553,647

Least Common Multiple of Numerators i.e. LCM of 873,553,647 is 312351543.

GCF of Denominators means GCF of 21,15,577 as per the given fractions.

GCF of 21,15,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,553,647

LCM of Fractions 873/21,553/15,647/577 is 312351543

Given numbers has no common factors except 1. So, there LCM is their product i.e 312351543

Least Common Multiple of 873,553,647 with GCF Formula

Least Common Multiple of 873,553,647 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 873,553,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,553,647) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(873,553,647) x common factors =1 x 1 = 1

LCM(873,553,647) = ( 873 × 553 × 647 ) / 1

LCM(873,553,647) = 312351543 / 1

LCM(873,553,647) = 312351543


Lets's calculate GCF of 21,15,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312351543/1

Therefore the LCM of Fractions 873/21,553/15,647/577 is 312351543

Greatest Common Factor of 21,15,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,15,577 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 21,15,577 . The biggest common factor number is the GCF number.
So the greatest common factor 21,15,577 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 873/21, 553/15, 647/577

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 873/21, 553/15, 647/577?

Answer: LCM of Numerators as per given numbers 873/21, 553/15, 647/577 is

LCM of Numerators i.e. for 873,553,647 is 312351543

GCF of denominators i.e. for 21,15,577 is 1.

Thus, LCM of Fractions is 312351543.Finally, LCM of Fractions for 873/21, 553/15, 647/577 is 312351543.