Least Common Multiple of 3317/235, 4815/9629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3317/235, 4815/9629 quickly i.e. 149265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3317/235, 4815/9629 is 149265.

LCM(3317/235, 4815/9629) = 149265

LCM of 3317/235, 4815/9629

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 3317/235,4815/9629

Given numbers are 3317/235,4815/9629

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 3317,4815

Least Common Multiple of Numerators i.e. LCM of 3317,4815 is 149265.

GCF of Denominators means GCF of 235,9629 as per the given fractions.

GCF of 235,9629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3317,4815

LCM of Fractions 3317/235,4815/9629 is 149265

107 3317, 4815
31, 45

∴ So the LCM of the given numbers is 107 x 31 x 45 = 149265

Least Common Multiple of 3317,4815 with GCF Formula

Least Common Multiple of 3317,4815 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 3317,4815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3317,4815) = 107

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

GCF(3317,4815) x common factors =107 x 1 = 107

LCM(3317,4815) = ( 3317 × 4815 ) / 107

LCM(3317,4815) = 15971355 / 107

LCM(3317,4815) = 149265


Lets's calculate GCF of 235,9629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149265/1

Therefore the LCM of Fractions 3317/235,4815/9629 is 149265

Greatest Common Factor of 235,9629 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,9629 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1,9629

Greatest Common Factor

We found the factors 235,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 235,9629 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 3317/235, 4815/9629

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 3317/235, 4815/9629?

Answer: LCM of Numerators as per given numbers 3317/235, 4815/9629 is

LCM of Numerators i.e. for 3317,4815 is 149265

GCF of denominators i.e. for 235,9629 is 1.

Thus, LCM of Fractions is 149265.Finally, LCM of Fractions for 3317/235, 4815/9629 is 149265.