Least Common Multiple of 21/504, 818/338, 400/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/504, 818/338, 400/461 quickly i.e. 3435600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/504, 818/338, 400/461 is 3435600.

LCM(21/504, 818/338, 400/461) = 3435600

LCM of 21/504, 818/338, 400/461

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 21/504,818/338,400/461

Given numbers are 21/504,818/338,400/461

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 21,818,400

Least Common Multiple of Numerators i.e. LCM of 21,818,400 is 3435600.

GCF of Denominators means GCF of 504,338,461 as per the given fractions.

GCF of 504,338,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,818,400

LCM of Fractions 21/504,818/338,400/461 is 3435600

2 21, 818, 400
21, 409, 200

∴ So the LCM of the given numbers is 2 x 21 x 409 x 200 = 3435600

Least Common Multiple of 21,818,400 with GCF Formula

Least Common Multiple of 21,818,400 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 21,818,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,818,400) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(21,818,400) x common factors =1 x 2 = 2

LCM(21,818,400) = ( 21 × 818 × 400 ) / 2

LCM(21,818,400) = 6871200 / 2

LCM(21,818,400) = 3435600


Lets's calculate GCF of 504,338,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3435600/1

Therefore the LCM of Fractions 21/504,818/338,400/461 is 3435600

Greatest Common Factor of 504,338,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,338,461 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 504,338,461 . The biggest common factor number is the GCF number.
So the greatest common factor 504,338,461 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 21/504, 818/338, 400/461

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 21/504, 818/338, 400/461?

Answer: LCM of Numerators as per given numbers 21/504, 818/338, 400/461 is

LCM of Numerators i.e. for 21,818,400 is 3435600

GCF of denominators i.e. for 504,338,461 is 1.

Thus, LCM of Fractions is 3435600.Finally, LCM of Fractions for 21/504, 818/338, 400/461 is 3435600.