Least Common Multiple of 83/600, 222/615, 291/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/600, 222/615, 291/485 quickly i.e. 1787322/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/600, 222/615, 291/485 is 1787322/5.

LCM(83/600, 222/615, 291/485) = 1787322/5

LCM of 83/600, 222/615, 291/485

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 83/600,222/615,291/485

Given numbers are 83/600,222/615,291/485

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 83,222,291

Least Common Multiple of Numerators i.e. LCM of 83,222,291 is 1787322.

GCF of Denominators means GCF of 600,615,485 as per the given fractions.

GCF of 600,615,485 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,222,291

LCM of Fractions 83/600,222/615,291/485 is 1787322/5

3 83, 222, 291
83, 74, 97

∴ So the LCM of the given numbers is 3 x 83 x 74 x 97 = 1787322

Least Common Multiple of 83,222,291 with GCF Formula

Least Common Multiple of 83,222,291 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 83,222,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,222,291) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,222,291) x common factors =1 x 3 = 3

LCM(83,222,291) = ( 83 × 222 × 291 ) / 3

LCM(83,222,291) = 5361966 / 3

LCM(83,222,291) = 1787322


Lets's calculate GCF of 600,615,485

5 600, 615, 485
120, 123, 97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1787322/5

Therefore the LCM of Fractions 83/600,222/615,291/485 is 1787322/5

Greatest Common Factor of 600,615,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,615,485 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 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 600,615,485 . The biggest common factor number is the GCF number.
So the greatest common factor 600,615,485 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 83/600, 222/615, 291/485

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 83/600, 222/615, 291/485?

Answer: LCM of Numerators as per given numbers 83/600, 222/615, 291/485 is

LCM of Numerators i.e. for 83,222,291 is 1787322

GCF of denominators i.e. for 600,615,485 is 5.

Thus, LCM of Fractions is 1787322/5.Finally, LCM of Fractions for 83/600, 222/615, 291/485 is 1787322/5.