Least Common Multiple of 677/80, 553/66, 252/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/80, 553/66, 252/480 quickly i.e. 6738858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/80, 553/66, 252/480 is 6738858.

LCM(677/80, 553/66, 252/480) = 6738858

LCM of 677/80, 553/66, 252/480

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 677/80,553/66,252/480

Given numbers are 677/80,553/66,252/480

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 677,553,252

Least Common Multiple of Numerators i.e. LCM of 677,553,252 is 13477716.

GCF of Denominators means GCF of 80,66,480 as per the given fractions.

GCF of 80,66,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,553,252

LCM of Fractions 677/80,553/66,252/480 is 6738858

7 677, 553, 252
677, 79, 36

∴ So the LCM of the given numbers is 7 x 677 x 79 x 36 = 13477716

Least Common Multiple of 677,553,252 with GCF Formula

Least Common Multiple of 677,553,252 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 677,553,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,553,252) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(677,553,252) x common factors =1 x 7 = 7

LCM(677,553,252) = ( 677 × 553 × 252 ) / 7

LCM(677,553,252) = 94344012 / 7

LCM(677,553,252) = 13477716


Lets's calculate GCF of 80,66,480

2 80, 66, 480
40, 33, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13477716/2

Therefore the LCM of Fractions 677/80,553/66,252/480 is 6738858

Greatest Common Factor of 80,66,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,66,480 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 80,66,480 . The biggest common factor number is the GCF number.
So the greatest common factor 80,66,480 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 677/80, 553/66, 252/480

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 677/80, 553/66, 252/480?

Answer: LCM of Numerators as per given numbers 677/80, 553/66, 252/480 is

LCM of Numerators i.e. for 677,553,252 is 13477716

GCF of denominators i.e. for 80,66,480 is 2.

Thus, LCM of Fractions is 6738858.Finally, LCM of Fractions for 677/80, 553/66, 252/480 is 6738858.