Least Common Multiple of 77/643, 817/987, 857/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/643, 817/987, 857/973 quickly i.e. 53913013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/643, 817/987, 857/973 is 53913013.

LCM(77/643, 817/987, 857/973) = 53913013

LCM of 77/643, 817/987, 857/973

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 77/643,817/987,857/973

Given numbers are 77/643,817/987,857/973

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 77,817,857

Least Common Multiple of Numerators i.e. LCM of 77,817,857 is 53913013.

GCF of Denominators means GCF of 643,987,973 as per the given fractions.

GCF of 643,987,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,817,857

LCM of Fractions 77/643,817/987,857/973 is 53913013

Given numbers has no common factors except 1. So, there LCM is their product i.e 53913013

Least Common Multiple of 77,817,857 with GCF Formula

Least Common Multiple of 77,817,857 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 77,817,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,817,857) = 1

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

GCF(77,817,857) x common factors =1 x 1 = 1

LCM(77,817,857) = ( 77 × 817 × 857 ) / 1

LCM(77,817,857) = 53913013 / 1

LCM(77,817,857) = 53913013


Lets's calculate GCF of 643,987,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53913013/1

Therefore the LCM of Fractions 77/643,817/987,857/973 is 53913013

Greatest Common Factor of 643,987,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,987,973 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 643,987,973 . The biggest common factor number is the GCF number.
So the greatest common factor 643,987,973 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 77/643, 817/987, 857/973

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 77/643, 817/987, 857/973?

Answer: LCM of Numerators as per given numbers 77/643, 817/987, 857/973 is

LCM of Numerators i.e. for 77,817,857 is 53913013

GCF of denominators i.e. for 643,987,973 is 1.

Thus, LCM of Fractions is 53913013.Finally, LCM of Fractions for 77/643, 817/987, 857/973 is 53913013.