Least Common Multiple of 79/208, 187/370, 200/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/208, 187/370, 200/480 quickly i.e. 1477300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/208, 187/370, 200/480 is 1477300.

LCM(79/208, 187/370, 200/480) = 1477300

LCM of 79/208, 187/370, 200/480

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 79/208,187/370,200/480

Given numbers are 79/208,187/370,200/480

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 79,187,200

Least Common Multiple of Numerators i.e. LCM of 79,187,200 is 2954600.

GCF of Denominators means GCF of 208,370,480 as per the given fractions.

GCF of 208,370,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,187,200

LCM of Fractions 79/208,187/370,200/480 is 1477300

Given numbers has no common factors except 1. So, there LCM is their product i.e 2954600

Least Common Multiple of 79,187,200 with GCF Formula

Least Common Multiple of 79,187,200 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 79,187,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,187,200) = 1

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

GCF(79,187,200) x common factors =1 x 1 = 1

LCM(79,187,200) = ( 79 × 187 × 200 ) / 1

LCM(79,187,200) = 2954600 / 1

LCM(79,187,200) = 2954600


Lets's calculate GCF of 208,370,480

2 208, 370, 480
104, 185, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2954600/2

Therefore the LCM of Fractions 79/208,187/370,200/480 is 1477300

Greatest Common Factor of 208,370,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,370,480 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 208,370,480 . The biggest common factor number is the GCF number.
So the greatest common factor 208,370,480 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 79/208, 187/370, 200/480

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 79/208, 187/370, 200/480?

Answer: LCM of Numerators as per given numbers 79/208, 187/370, 200/480 is

LCM of Numerators i.e. for 79,187,200 is 2954600

GCF of denominators i.e. for 208,370,480 is 2.

Thus, LCM of Fractions is 1477300.Finally, LCM of Fractions for 79/208, 187/370, 200/480 is 1477300.