Least Common Multiple of 477/550, 5451/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/550, 5451/880 quickly i.e. 866709/110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/550, 5451/880 is 866709/110.

LCM(477/550, 5451/880) = 866709/110

LCM of 477/550, 5451/880

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 477/550,5451/880

Given numbers are 477/550,5451/880

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 477,5451

Least Common Multiple of Numerators i.e. LCM of 477,5451 is 866709.

GCF of Denominators means GCF of 550,880 as per the given fractions.

GCF of 550,880 is 110 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,5451

LCM of Fractions 477/550,5451/880 is 866709/110

3 477, 5451
159, 1817

∴ So the LCM of the given numbers is 3 x 159 x 1817 = 866709

Least Common Multiple of 477,5451 with GCF Formula

Least Common Multiple of 477,5451 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 477,5451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,5451) = 3

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

GCF(477,5451) x common factors =3 x 1 = 3

LCM(477,5451) = ( 477 × 5451 ) / 3

LCM(477,5451) = 2600127 / 3

LCM(477,5451) = 866709


Lets's calculate GCF of 550,880

2 550, 880
5 275, 440
11 55, 88
5, 8

∴ So the GCF of the given numbers is 2 x 5 x 11 = 110

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866709/110

Therefore the LCM of Fractions 477/550,5451/880 is 866709/110

Greatest Common Factor of 550,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,880 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 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 550,880 . The biggest common factor number is the GCF number.
So the greatest common factor 550,880 is 110.


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 477/550, 5451/880

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 477/550, 5451/880?

Answer: LCM of Numerators as per given numbers 477/550, 5451/880 is

LCM of Numerators i.e. for 477,5451 is 866709

GCF of denominators i.e. for 550,880 is 110.

Thus, LCM of Fractions is 866709/110.Finally, LCM of Fractions for 477/550, 5451/880 is 866709/110.