Least Common Multiple of 78/550, 31/544, 461/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/550, 31/544, 461/582 quickly i.e. 557349 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/550, 31/544, 461/582 is 557349.

LCM(78/550, 31/544, 461/582) = 557349

LCM of 78/550, 31/544, 461/582

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 78/550,31/544,461/582

Given numbers are 78/550,31/544,461/582

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 78,31,461

Least Common Multiple of Numerators i.e. LCM of 78,31,461 is 1114698.

GCF of Denominators means GCF of 550,544,582 as per the given fractions.

GCF of 550,544,582 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,31,461

LCM of Fractions 78/550,31/544,461/582 is 557349

Given numbers has no common factors except 1. So, there LCM is their product i.e 1114698

Least Common Multiple of 78,31,461 with GCF Formula

Least Common Multiple of 78,31,461 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 78,31,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,31,461) = 1

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

GCF(78,31,461) x common factors =1 x 1 = 1

LCM(78,31,461) = ( 78 × 31 × 461 ) / 1

LCM(78,31,461) = 1114698 / 1

LCM(78,31,461) = 1114698


Lets's calculate GCF of 550,544,582

2 550, 544, 582
275, 272, 291

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1114698/2

Therefore the LCM of Fractions 78/550,31/544,461/582 is 557349

Greatest Common Factor of 550,544,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,544,582 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 550,544,582 . The biggest common factor number is the GCF number.
So the greatest common factor 550,544,582 is 2.


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 78/550, 31/544, 461/582

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 78/550, 31/544, 461/582?

Answer: LCM of Numerators as per given numbers 78/550, 31/544, 461/582 is

LCM of Numerators i.e. for 78,31,461 is 1114698

GCF of denominators i.e. for 550,544,582 is 2.

Thus, LCM of Fractions is 557349.Finally, LCM of Fractions for 78/550, 31/544, 461/582 is 557349.