Least Common Multiple of 24/805, 543/373, 381/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/805, 543/373, 381/220 quickly i.e. 551688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/805, 543/373, 381/220 is 551688.

LCM(24/805, 543/373, 381/220) = 551688

LCM of 24/805, 543/373, 381/220

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 24/805,543/373,381/220

Given numbers are 24/805,543/373,381/220

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 24,543,381

Least Common Multiple of Numerators i.e. LCM of 24,543,381 is 551688.

GCF of Denominators means GCF of 805,373,220 as per the given fractions.

GCF of 805,373,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,543,381

LCM of Fractions 24/805,543/373,381/220 is 551688

3 24, 543, 381
8, 181, 127

∴ So the LCM of the given numbers is 3 x 8 x 181 x 127 = 551688

Least Common Multiple of 24,543,381 with GCF Formula

Least Common Multiple of 24,543,381 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 24,543,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,543,381) = 3

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

GCF(24,543,381) x common factors =3 x 3 = 9

LCM(24,543,381) = ( 24 × 543 × 381 ) / 9

LCM(24,543,381) = 4965192 / 9

LCM(24,543,381) = 551688


Lets's calculate GCF of 805,373,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551688/1

Therefore the LCM of Fractions 24/805,543/373,381/220 is 551688

Greatest Common Factor of 805,373,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,373,220 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 805,373,220 . The biggest common factor number is the GCF number.
So the greatest common factor 805,373,220 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 24/805, 543/373, 381/220

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 24/805, 543/373, 381/220?

Answer: LCM of Numerators as per given numbers 24/805, 543/373, 381/220 is

LCM of Numerators i.e. for 24,543,381 is 551688

GCF of denominators i.e. for 805,373,220 is 1.

Thus, LCM of Fractions is 551688.Finally, LCM of Fractions for 24/805, 543/373, 381/220 is 551688.