Least Common Multiple of 21/364, 657/104, 647/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/364, 657/104, 647/447 quickly i.e. 2975553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/364, 657/104, 647/447 is 2975553.

LCM(21/364, 657/104, 647/447) = 2975553

LCM of 21/364, 657/104, 647/447

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 21/364,657/104,647/447

Given numbers are 21/364,657/104,647/447

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 21,657,647

Least Common Multiple of Numerators i.e. LCM of 21,657,647 is 2975553.

GCF of Denominators means GCF of 364,104,447 as per the given fractions.

GCF of 364,104,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,657,647

LCM of Fractions 21/364,657/104,647/447 is 2975553

3 21, 657, 647
7, 219, 647

∴ So the LCM of the given numbers is 3 x 7 x 219 x 647 = 2975553

Least Common Multiple of 21,657,647 with GCF Formula

Least Common Multiple of 21,657,647 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 21,657,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,657,647) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,657,647) x common factors =1 x 3 = 3

LCM(21,657,647) = ( 21 × 657 × 647 ) / 3

LCM(21,657,647) = 8926659 / 3

LCM(21,657,647) = 2975553


Lets's calculate GCF of 364,104,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2975553/1

Therefore the LCM of Fractions 21/364,657/104,647/447 is 2975553

Greatest Common Factor of 364,104,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,104,447 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 364,104,447 . The biggest common factor number is the GCF number.
So the greatest common factor 364,104,447 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 21/364, 657/104, 647/447

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 21/364, 657/104, 647/447?

Answer: LCM of Numerators as per given numbers 21/364, 657/104, 647/447 is

LCM of Numerators i.e. for 21,657,647 is 2975553

GCF of denominators i.e. for 364,104,447 is 1.

Thus, LCM of Fractions is 2975553.Finally, LCM of Fractions for 21/364, 657/104, 647/447 is 2975553.