Least Common Multiple of 64/680, 150/412, 680/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/680, 150/412, 680/507 quickly i.e. 81600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/680, 150/412, 680/507 is 81600.

LCM(64/680, 150/412, 680/507) = 81600

LCM of 64/680, 150/412, 680/507

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 64/680,150/412,680/507

Given numbers are 64/680,150/412,680/507

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 64,150,680

Least Common Multiple of Numerators i.e. LCM of 64,150,680 is 81600.

GCF of Denominators means GCF of 680,412,507 as per the given fractions.

GCF of 680,412,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,150,680

LCM of Fractions 64/680,150/412,680/507 is 81600

2 64, 150, 680
2 32, 75, 340
2 16, 75, 170
5 8, 75, 85
8, 15, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 15 x 17 = 81600

Least Common Multiple of 64,150,680 with GCF Formula

Least Common Multiple of 64,150,680 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 64,150,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,150,680) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(64,150,680) x common factors =2 x 40 = 80

LCM(64,150,680) = ( 64 × 150 × 680 ) / 80

LCM(64,150,680) = 6528000 / 80

LCM(64,150,680) = 81600


Lets's calculate GCF of 680,412,507

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81600/1

Therefore the LCM of Fractions 64/680,150/412,680/507 is 81600

Greatest Common Factor of 680,412,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,412,507 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 680,412,507 . The biggest common factor number is the GCF number.
So the greatest common factor 680,412,507 is 1.


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 64/680, 150/412, 680/507

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 64/680, 150/412, 680/507?

Answer: LCM of Numerators as per given numbers 64/680, 150/412, 680/507 is

LCM of Numerators i.e. for 64,150,680 is 81600

GCF of denominators i.e. for 680,412,507 is 1.

Thus, LCM of Fractions is 81600.Finally, LCM of Fractions for 64/680, 150/412, 680/507 is 81600.