Least Common Multiple of 680/360, 890/640, 501/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/360, 890/640, 501/165 quickly i.e. 6064104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/360, 890/640, 501/165 is 6064104.

LCM(680/360, 890/640, 501/165) = 6064104

LCM of 680/360, 890/640, 501/165

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 680/360,890/640,501/165

Given numbers are 680/360,890/640,501/165

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 680,890,501

Least Common Multiple of Numerators i.e. LCM of 680,890,501 is 30320520.

GCF of Denominators means GCF of 360,640,165 as per the given fractions.

GCF of 360,640,165 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,890,501

LCM of Fractions 680/360,890/640,501/165 is 6064104

2 680, 890, 501
5 340, 445, 501
68, 89, 501

∴ So the LCM of the given numbers is 2 x 5 x 68 x 89 x 501 = 30320520

Least Common Multiple of 680,890,501 with GCF Formula

Least Common Multiple of 680,890,501 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 680,890,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,890,501) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(680,890,501) x common factors =1 x 10 = 10

LCM(680,890,501) = ( 680 × 890 × 501 ) / 10

LCM(680,890,501) = 303205200 / 10

LCM(680,890,501) = 30320520


Lets's calculate GCF of 360,640,165

5 360, 640, 165
72, 128, 33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30320520/5

Therefore the LCM of Fractions 680/360,890/640,501/165 is 6064104

Greatest Common Factor of 360,640,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,640,165 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 360,640,165 . The biggest common factor number is the GCF number.
So the greatest common factor 360,640,165 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 680/360, 890/640, 501/165

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 680/360, 890/640, 501/165?

Answer: LCM of Numerators as per given numbers 680/360, 890/640, 501/165 is

LCM of Numerators i.e. for 680,890,501 is 30320520

GCF of denominators i.e. for 360,640,165 is 5.

Thus, LCM of Fractions is 6064104.Finally, LCM of Fractions for 680/360, 890/640, 501/165 is 6064104.