Least Common Multiple of 380/600, 126/165, 622/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/600, 126/165, 622/195 quickly i.e. 496356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/600, 126/165, 622/195 is 496356.

LCM(380/600, 126/165, 622/195) = 496356

LCM of 380/600, 126/165, 622/195

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 380/600,126/165,622/195

Given numbers are 380/600,126/165,622/195

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 380,126,622

Least Common Multiple of Numerators i.e. LCM of 380,126,622 is 7445340.

GCF of Denominators means GCF of 600,165,195 as per the given fractions.

GCF of 600,165,195 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,126,622

LCM of Fractions 380/600,126/165,622/195 is 496356

2 380, 126, 622
190, 63, 311

∴ So the LCM of the given numbers is 2 x 190 x 63 x 311 = 7445340

Least Common Multiple of 380,126,622 with GCF Formula

Least Common Multiple of 380,126,622 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 380,126,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,126,622) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(380,126,622) x common factors =2 x 2 = 4

LCM(380,126,622) = ( 380 × 126 × 622 ) / 4

LCM(380,126,622) = 29781360 / 4

LCM(380,126,622) = 7445340


Lets's calculate GCF of 600,165,195

3 600, 165, 195
5 200, 55, 65
40, 11, 13

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7445340/15

Therefore the LCM of Fractions 380/600,126/165,622/195 is 496356

Greatest Common Factor of 600,165,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,165,195 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 165

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

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

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 600,165,195 . The biggest common factor number is the GCF number.
So the greatest common factor 600,165,195 is 15.


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 380/600, 126/165, 622/195

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 380/600, 126/165, 622/195?

Answer: LCM of Numerators as per given numbers 380/600, 126/165, 622/195 is

LCM of Numerators i.e. for 380,126,622 is 7445340

GCF of denominators i.e. for 600,165,195 is 15.

Thus, LCM of Fractions is 496356.Finally, LCM of Fractions for 380/600, 126/165, 622/195 is 496356.