Least Common Multiple of 353/72, 7315/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 353/72, 7315/334 quickly i.e. 2582195/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 353/72, 7315/334 is 2582195/2.

LCM(353/72, 7315/334) = 2582195/2

LCM of 353/72, 7315/334

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 353/72,7315/334

Given numbers are 353/72,7315/334

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 353,7315

Least Common Multiple of Numerators i.e. LCM of 353,7315 is 2582195.

GCF of Denominators means GCF of 72,334 as per the given fractions.

GCF of 72,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 353,7315

LCM of Fractions 353/72,7315/334 is 2582195/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2582195

Least Common Multiple of 353,7315 with GCF Formula

Least Common Multiple of 353,7315 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 353,7315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,7315) = 1

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

GCF(353,7315) x common factors =1 x 1 = 1

LCM(353,7315) = ( 353 × 7315 ) / 1

LCM(353,7315) = 2582195 / 1

LCM(353,7315) = 2582195


Lets's calculate GCF of 72,334

2 72, 334
36, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2582195/2

Therefore the LCM of Fractions 353/72,7315/334 is 2582195/2

Greatest Common Factor of 72,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,334 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 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 72,334 . The biggest common factor number is the GCF number.
So the greatest common factor 72,334 is 2.


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 353/72, 7315/334

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 353/72, 7315/334?

Answer: LCM of Numerators as per given numbers 353/72, 7315/334 is

LCM of Numerators i.e. for 353,7315 is 2582195

GCF of denominators i.e. for 72,334 is 2.

Thus, LCM of Fractions is 2582195/2.Finally, LCM of Fractions for 353/72, 7315/334 is 2582195/2.