Least Common Multiple of 21/912, 47/682, 884/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/912, 47/682, 884/977 quickly i.e. 872508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/912, 47/682, 884/977 is 872508.

LCM(21/912, 47/682, 884/977) = 872508

LCM of 21/912, 47/682, 884/977

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 21/912,47/682,884/977

Given numbers are 21/912,47/682,884/977

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 21,47,884

Least Common Multiple of Numerators i.e. LCM of 21,47,884 is 872508.

GCF of Denominators means GCF of 912,682,977 as per the given fractions.

GCF of 912,682,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,47,884

LCM of Fractions 21/912,47/682,884/977 is 872508

Given numbers has no common factors except 1. So, there LCM is their product i.e 872508

Least Common Multiple of 21,47,884 with GCF Formula

Least Common Multiple of 21,47,884 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 21,47,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,47,884) = 1

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

GCF(21,47,884) x common factors =1 x 1 = 1

LCM(21,47,884) = ( 21 × 47 × 884 ) / 1

LCM(21,47,884) = 872508 / 1

LCM(21,47,884) = 872508


Lets's calculate GCF of 912,682,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872508/1

Therefore the LCM of Fractions 21/912,47/682,884/977 is 872508

Greatest Common Factor of 912,682,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,682,977 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 912,682,977 . The biggest common factor number is the GCF number.
So the greatest common factor 912,682,977 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 21/912, 47/682, 884/977

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 21/912, 47/682, 884/977?

Answer: LCM of Numerators as per given numbers 21/912, 47/682, 884/977 is

LCM of Numerators i.e. for 21,47,884 is 872508

GCF of denominators i.e. for 912,682,977 is 1.

Thus, LCM of Fractions is 872508.Finally, LCM of Fractions for 21/912, 47/682, 884/977 is 872508.