Least Common Multiple of 55/876, 576/587, 561/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/876, 576/587, 561/312 quickly i.e. 538560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/876, 576/587, 561/312 is 538560.

LCM(55/876, 576/587, 561/312) = 538560

LCM of 55/876, 576/587, 561/312

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 55/876,576/587,561/312

Given numbers are 55/876,576/587,561/312

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 55,576,561

Least Common Multiple of Numerators i.e. LCM of 55,576,561 is 538560.

GCF of Denominators means GCF of 876,587,312 as per the given fractions.

GCF of 876,587,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,576,561

LCM of Fractions 55/876,576/587,561/312 is 538560

3 55, 576, 561
11 55, 192, 187
5, 192, 17

∴ So the LCM of the given numbers is 3 x 11 x 5 x 192 x 17 = 538560

Least Common Multiple of 55,576,561 with GCF Formula

Least Common Multiple of 55,576,561 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 55,576,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,576,561) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(55,576,561) x common factors =1 x 33 = 33

LCM(55,576,561) = ( 55 × 576 × 561 ) / 33

LCM(55,576,561) = 17772480 / 33

LCM(55,576,561) = 538560


Lets's calculate GCF of 876,587,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 538560/1

Therefore the LCM of Fractions 55/876,576/587,561/312 is 538560

Greatest Common Factor of 876,587,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,587,312 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 876,587,312 . The biggest common factor number is the GCF number.
So the greatest common factor 876,587,312 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 55/876, 576/587, 561/312

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 55/876, 576/587, 561/312?

Answer: LCM of Numerators as per given numbers 55/876, 576/587, 561/312 is

LCM of Numerators i.e. for 55,576,561 is 538560

GCF of denominators i.e. for 876,587,312 is 1.

Thus, LCM of Fractions is 538560.Finally, LCM of Fractions for 55/876, 576/587, 561/312 is 538560.