Least Common Multiple of 155/151, 165/478, 313/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 155/151, 165/478, 313/204 quickly i.e. 1600995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 155/151, 165/478, 313/204 is 1600995.

LCM(155/151, 165/478, 313/204) = 1600995

LCM of 155/151, 165/478, 313/204

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 155/151,165/478,313/204

Given numbers are 155/151,165/478,313/204

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 155,165,313

Least Common Multiple of Numerators i.e. LCM of 155,165,313 is 1600995.

GCF of Denominators means GCF of 151,478,204 as per the given fractions.

GCF of 151,478,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 155,165,313

LCM of Fractions 155/151,165/478,313/204 is 1600995

5 155, 165, 313
31, 33, 313

∴ So the LCM of the given numbers is 5 x 31 x 33 x 313 = 1600995

Least Common Multiple of 155,165,313 with GCF Formula

Least Common Multiple of 155,165,313 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 155,165,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,165,313) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(155,165,313) x common factors =1 x 5 = 5

LCM(155,165,313) = ( 155 × 165 × 313 ) / 5

LCM(155,165,313) = 8004975 / 5

LCM(155,165,313) = 1600995


Lets's calculate GCF of 151,478,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1600995/1

Therefore the LCM of Fractions 155/151,165/478,313/204 is 1600995

Greatest Common Factor of 151,478,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,478,204 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 151,478,204 . The biggest common factor number is the GCF number.
So the greatest common factor 151,478,204 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 155/151, 165/478, 313/204

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 155/151, 165/478, 313/204?

Answer: LCM of Numerators as per given numbers 155/151, 165/478, 313/204 is

LCM of Numerators i.e. for 155,165,313 is 1600995

GCF of denominators i.e. for 151,478,204 is 1.

Thus, LCM of Fractions is 1600995.Finally, LCM of Fractions for 155/151, 165/478, 313/204 is 1600995.