Least Common Multiple of 304/72, 413/7601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 304/72, 413/7601 quickly i.e. 125552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/72, 413/7601 is 125552.

LCM(304/72, 413/7601) = 125552

LCM of 304/72, 413/7601

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 304/72,413/7601

Given numbers are 304/72,413/7601

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 304,413

Least Common Multiple of Numerators i.e. LCM of 304,413 is 125552.

GCF of Denominators means GCF of 72,7601 as per the given fractions.

GCF of 72,7601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,413

LCM of Fractions 304/72,413/7601 is 125552

Given numbers has no common factors except 1. So, there LCM is their product i.e 125552

Least Common Multiple of 304,413 with GCF Formula

Least Common Multiple of 304,413 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 304,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,413) = 1

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

GCF(304,413) x common factors =1 x 1 = 1

LCM(304,413) = ( 304 × 413 ) / 1

LCM(304,413) = 125552 / 1

LCM(304,413) = 125552


Lets's calculate GCF of 72,7601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125552/1

Therefore the LCM of Fractions 304/72,413/7601 is 125552

Greatest Common Factor of 72,7601 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,7601 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 7601

List of positive integer factors of 7601 that divides 7601 without a remainder.

1,11,691,7601

Greatest Common Factor

We found the factors 72,7601 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7601 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 304/72, 413/7601

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 304/72, 413/7601?

Answer: LCM of Numerators as per given numbers 304/72, 413/7601 is

LCM of Numerators i.e. for 304,413 is 125552

GCF of denominators i.e. for 72,7601 is 1.

Thus, LCM of Fractions is 125552.Finally, LCM of Fractions for 304/72, 413/7601 is 125552.