Least Common Multiple of 687/583, 572/550, 944/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/583, 572/550, 944/855 quickly i.e. 92739504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/583, 572/550, 944/855 is 92739504.

LCM(687/583, 572/550, 944/855) = 92739504

LCM of 687/583, 572/550, 944/855

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 687/583,572/550,944/855

Given numbers are 687/583,572/550,944/855

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 687,572,944

Least Common Multiple of Numerators i.e. LCM of 687,572,944 is 92739504.

GCF of Denominators means GCF of 583,550,855 as per the given fractions.

GCF of 583,550,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,572,944

LCM of Fractions 687/583,572/550,944/855 is 92739504

2 687, 572, 944
2 687, 286, 472
687, 143, 236

∴ So the LCM of the given numbers is 2 x 2 x 687 x 143 x 236 = 92739504

Least Common Multiple of 687,572,944 with GCF Formula

Least Common Multiple of 687,572,944 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 687,572,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,572,944) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(687,572,944) x common factors =1 x 4 = 4

LCM(687,572,944) = ( 687 × 572 × 944 ) / 4

LCM(687,572,944) = 370958016 / 4

LCM(687,572,944) = 92739504


Lets's calculate GCF of 583,550,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92739504/1

Therefore the LCM of Fractions 687/583,572/550,944/855 is 92739504

Greatest Common Factor of 583,550,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,550,855 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

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 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 583,550,855 . The biggest common factor number is the GCF number.
So the greatest common factor 583,550,855 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 687/583, 572/550, 944/855

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 687/583, 572/550, 944/855?

Answer: LCM of Numerators as per given numbers 687/583, 572/550, 944/855 is

LCM of Numerators i.e. for 687,572,944 is 92739504

GCF of denominators i.e. for 583,550,855 is 1.

Thus, LCM of Fractions is 92739504.Finally, LCM of Fractions for 687/583, 572/550, 944/855 is 92739504.