Least Common Multiple of 7680/620, 6585/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7680/620, 6585/255 quickly i.e. 674304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7680/620, 6585/255 is 674304.

LCM(7680/620, 6585/255) = 674304

LCM of 7680/620, 6585/255

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 7680/620,6585/255

Given numbers are 7680/620,6585/255

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 7680,6585

Least Common Multiple of Numerators i.e. LCM of 7680,6585 is 3371520.

GCF of Denominators means GCF of 620,255 as per the given fractions.

GCF of 620,255 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7680,6585

LCM of Fractions 7680/620,6585/255 is 674304

3 7680, 6585
5 2560, 2195
512, 439

∴ So the LCM of the given numbers is 3 x 5 x 512 x 439 = 3371520

Least Common Multiple of 7680,6585 with GCF Formula

Least Common Multiple of 7680,6585 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 7680,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7680,6585) = 15

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

GCF(7680,6585) x common factors =15 x 1 = 15

LCM(7680,6585) = ( 7680 × 6585 ) / 15

LCM(7680,6585) = 50572800 / 15

LCM(7680,6585) = 3371520


Lets's calculate GCF of 620,255

5 620, 255
124, 51

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3371520/5

Therefore the LCM of Fractions 7680/620,6585/255 is 674304

Greatest Common Factor of 620,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,255 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 620,255 . The biggest common factor number is the GCF number.
So the greatest common factor 620,255 is 5.


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 7680/620, 6585/255

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 7680/620, 6585/255?

Answer: LCM of Numerators as per given numbers 7680/620, 6585/255 is

LCM of Numerators i.e. for 7680,6585 is 3371520

GCF of denominators i.e. for 620,255 is 5.

Thus, LCM of Fractions is 674304.Finally, LCM of Fractions for 7680/620, 6585/255 is 674304.