Least Common Multiple of 51/153, 149/386, 199/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/153, 149/386, 199/519 quickly i.e. 1512201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/153, 149/386, 199/519 is 1512201.

LCM(51/153, 149/386, 199/519) = 1512201

LCM of 51/153, 149/386, 199/519

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 51/153,149/386,199/519

Given numbers are 51/153,149/386,199/519

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 51,149,199

Least Common Multiple of Numerators i.e. LCM of 51,149,199 is 1512201.

GCF of Denominators means GCF of 153,386,519 as per the given fractions.

GCF of 153,386,519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,149,199

LCM of Fractions 51/153,149/386,199/519 is 1512201

Given numbers has no common factors except 1. So, there LCM is their product i.e 1512201

Least Common Multiple of 51,149,199 with GCF Formula

Least Common Multiple of 51,149,199 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 51,149,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,149,199) = 1

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

GCF(51,149,199) x common factors =1 x 1 = 1

LCM(51,149,199) = ( 51 × 149 × 199 ) / 1

LCM(51,149,199) = 1512201 / 1

LCM(51,149,199) = 1512201


Lets's calculate GCF of 153,386,519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1512201/1

Therefore the LCM of Fractions 51/153,149/386,199/519 is 1512201

Greatest Common Factor of 153,386,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,386,519 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 153,386,519 . The biggest common factor number is the GCF number.
So the greatest common factor 153,386,519 is 1.


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 51/153, 149/386, 199/519

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 51/153, 149/386, 199/519?

Answer: LCM of Numerators as per given numbers 51/153, 149/386, 199/519 is

LCM of Numerators i.e. for 51,149,199 is 1512201

GCF of denominators i.e. for 153,386,519 is 1.

Thus, LCM of Fractions is 1512201.Finally, LCM of Fractions for 51/153, 149/386, 199/519 is 1512201.