Least Common Multiple of 151/144, 6288/8102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 151/144, 6288/8102 quickly i.e. 474744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 151/144, 6288/8102 is 474744.

LCM(151/144, 6288/8102) = 474744

LCM of 151/144, 6288/8102

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 151/144,6288/8102

Given numbers are 151/144,6288/8102

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 151,6288

Least Common Multiple of Numerators i.e. LCM of 151,6288 is 949488.

GCF of Denominators means GCF of 144,8102 as per the given fractions.

GCF of 144,8102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 151,6288

LCM of Fractions 151/144,6288/8102 is 474744

Given numbers has no common factors except 1. So, there LCM is their product i.e 949488

Least Common Multiple of 151,6288 with GCF Formula

Least Common Multiple of 151,6288 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 151,6288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,6288) = 1

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

GCF(151,6288) x common factors =1 x 1 = 1

LCM(151,6288) = ( 151 × 6288 ) / 1

LCM(151,6288) = 949488 / 1

LCM(151,6288) = 949488


Lets's calculate GCF of 144,8102

2 144, 8102
72, 4051

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949488/2

Therefore the LCM of Fractions 151/144,6288/8102 is 474744

Greatest Common Factor of 144,8102 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,8102 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1,2,4051,8102

Greatest Common Factor

We found the factors 144,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 144,8102 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 151/144, 6288/8102

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 151/144, 6288/8102?

Answer: LCM of Numerators as per given numbers 151/144, 6288/8102 is

LCM of Numerators i.e. for 151,6288 is 949488

GCF of denominators i.e. for 144,8102 is 2.

Thus, LCM of Fractions is 474744.Finally, LCM of Fractions for 151/144, 6288/8102 is 474744.