Least Common Multiple of 64/150, 357/192, 220/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/150, 357/192, 220/680 quickly i.e. 628320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/150, 357/192, 220/680 is 628320.

LCM(64/150, 357/192, 220/680) = 628320

LCM of 64/150, 357/192, 220/680

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 64/150,357/192,220/680

Given numbers are 64/150,357/192,220/680

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 64,357,220

Least Common Multiple of Numerators i.e. LCM of 64,357,220 is 1256640.

GCF of Denominators means GCF of 150,192,680 as per the given fractions.

GCF of 150,192,680 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,357,220

LCM of Fractions 64/150,357/192,220/680 is 628320

2 64, 357, 220
2 32, 357, 110
16, 357, 55

∴ So the LCM of the given numbers is 2 x 2 x 16 x 357 x 55 = 1256640

Least Common Multiple of 64,357,220 with GCF Formula

Least Common Multiple of 64,357,220 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 64,357,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,357,220) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,357,220) x common factors =1 x 4 = 4

LCM(64,357,220) = ( 64 × 357 × 220 ) / 4

LCM(64,357,220) = 5026560 / 4

LCM(64,357,220) = 1256640


Lets's calculate GCF of 150,192,680

2 150, 192, 680
75, 96, 340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1256640/2

Therefore the LCM of Fractions 64/150,357/192,220/680 is 628320

Greatest Common Factor of 150,192,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,192,680 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

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

Greatest Common Factor

We found the factors 150,192,680 . The biggest common factor number is the GCF number.
So the greatest common factor 150,192,680 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 64/150, 357/192, 220/680

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 64/150, 357/192, 220/680?

Answer: LCM of Numerators as per given numbers 64/150, 357/192, 220/680 is

LCM of Numerators i.e. for 64,357,220 is 1256640

GCF of denominators i.e. for 150,192,680 is 2.

Thus, LCM of Fractions is 628320.Finally, LCM of Fractions for 64/150, 357/192, 220/680 is 628320.