Least Common Multiple of 7316/326, 8928/5302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7316/326, 8928/5302 quickly i.e. 263376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7316/326, 8928/5302 is 263376.

LCM(7316/326, 8928/5302) = 263376

LCM of 7316/326, 8928/5302

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 7316/326,8928/5302

Given numbers are 7316/326,8928/5302

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 7316,8928

Least Common Multiple of Numerators i.e. LCM of 7316,8928 is 526752.

GCF of Denominators means GCF of 326,5302 as per the given fractions.

GCF of 326,5302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7316,8928

LCM of Fractions 7316/326,8928/5302 is 263376

2 7316, 8928
2 3658, 4464
31 1829, 2232
59, 72

∴ So the LCM of the given numbers is 2 x 2 x 31 x 59 x 72 = 526752

Least Common Multiple of 7316,8928 with GCF Formula

Least Common Multiple of 7316,8928 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 7316,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7316,8928) = 124

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

GCF(7316,8928) x common factors =124 x 1 = 124

LCM(7316,8928) = ( 7316 × 8928 ) / 124

LCM(7316,8928) = 65317248 / 124

LCM(7316,8928) = 526752


Lets's calculate GCF of 326,5302

2 326, 5302
163, 2651

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526752/2

Therefore the LCM of Fractions 7316/326,8928/5302 is 263376

Greatest Common Factor of 326,5302 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,5302 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 326,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 326,5302 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 7316/326, 8928/5302

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 7316/326, 8928/5302?

Answer: LCM of Numerators as per given numbers 7316/326, 8928/5302 is

LCM of Numerators i.e. for 7316,8928 is 526752

GCF of denominators i.e. for 326,5302 is 2.

Thus, LCM of Fractions is 263376.Finally, LCM of Fractions for 7316/326, 8928/5302 is 263376.