Least Common Multiple of 701/487, 756/184, 300/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/487, 756/184, 300/264 quickly i.e. 13248900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/487, 756/184, 300/264 is 13248900.

LCM(701/487, 756/184, 300/264) = 13248900

LCM of 701/487, 756/184, 300/264

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 701/487,756/184,300/264

Given numbers are 701/487,756/184,300/264

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 701,756,300

Least Common Multiple of Numerators i.e. LCM of 701,756,300 is 13248900.

GCF of Denominators means GCF of 487,184,264 as per the given fractions.

GCF of 487,184,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,756,300

LCM of Fractions 701/487,756/184,300/264 is 13248900

2 701, 756, 300
2 701, 378, 150
3 701, 189, 75
701, 63, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 701 x 63 x 25 = 13248900

Least Common Multiple of 701,756,300 with GCF Formula

Least Common Multiple of 701,756,300 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 701,756,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,756,300) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(701,756,300) x common factors =1 x 12 = 12

LCM(701,756,300) = ( 701 × 756 × 300 ) / 12

LCM(701,756,300) = 158986800 / 12

LCM(701,756,300) = 13248900


Lets's calculate GCF of 487,184,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13248900/1

Therefore the LCM of Fractions 701/487,756/184,300/264 is 13248900

Greatest Common Factor of 487,184,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,184,264 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 487,184,264 . The biggest common factor number is the GCF number.
So the greatest common factor 487,184,264 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 701/487, 756/184, 300/264

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 701/487, 756/184, 300/264?

Answer: LCM of Numerators as per given numbers 701/487, 756/184, 300/264 is

LCM of Numerators i.e. for 701,756,300 is 13248900

GCF of denominators i.e. for 487,184,264 is 1.

Thus, LCM of Fractions is 13248900.Finally, LCM of Fractions for 701/487, 756/184, 300/264 is 13248900.