Least Common Multiple of 480/408, 6766/5610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/408, 6766/5610 quickly i.e. 15920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/408, 6766/5610 is 15920.

LCM(480/408, 6766/5610) = 15920

LCM of 480/408, 6766/5610

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 480/408,6766/5610

Given numbers are 480/408,6766/5610

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 480,6766

Least Common Multiple of Numerators i.e. LCM of 480,6766 is 1623840.

GCF of Denominators means GCF of 408,5610 as per the given fractions.

GCF of 408,5610 is 102 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,6766

LCM of Fractions 480/408,6766/5610 is 15920

2 480, 6766
240, 3383

∴ So the LCM of the given numbers is 2 x 240 x 3383 = 1623840

Least Common Multiple of 480,6766 with GCF Formula

Least Common Multiple of 480,6766 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 480,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,6766) = 2

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

GCF(480,6766) x common factors =2 x 1 = 2

LCM(480,6766) = ( 480 × 6766 ) / 2

LCM(480,6766) = 3247680 / 2

LCM(480,6766) = 1623840


Lets's calculate GCF of 408,5610

2 408, 5610
3 204, 2805
17 68, 935
4, 55

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1623840/102

Therefore the LCM of Fractions 480/408,6766/5610 is 15920

Greatest Common Factor of 408,5610 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,5610 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors 408,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 408,5610 is 102.


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 480/408, 6766/5610

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 480/408, 6766/5610?

Answer: LCM of Numerators as per given numbers 480/408, 6766/5610 is

LCM of Numerators i.e. for 480,6766 is 1623840

GCF of denominators i.e. for 408,5610 is 102.

Thus, LCM of Fractions is 15920.Finally, LCM of Fractions for 480/408, 6766/5610 is 15920.