Least Common Multiple of 8320/310, 3244/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8320/310, 3244/718 quickly i.e. 3373760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8320/310, 3244/718 is 3373760.

LCM(8320/310, 3244/718) = 3373760

LCM of 8320/310, 3244/718

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 8320/310,3244/718

Given numbers are 8320/310,3244/718

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 8320,3244

Least Common Multiple of Numerators i.e. LCM of 8320,3244 is 6747520.

GCF of Denominators means GCF of 310,718 as per the given fractions.

GCF of 310,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8320,3244

LCM of Fractions 8320/310,3244/718 is 3373760

2 8320, 3244
2 4160, 1622
2080, 811

∴ So the LCM of the given numbers is 2 x 2 x 2080 x 811 = 6747520

Least Common Multiple of 8320,3244 with GCF Formula

Least Common Multiple of 8320,3244 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 8320,3244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8320,3244) = 4

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

GCF(8320,3244) x common factors =4 x 1 = 4

LCM(8320,3244) = ( 8320 × 3244 ) / 4

LCM(8320,3244) = 26990080 / 4

LCM(8320,3244) = 6747520


Lets's calculate GCF of 310,718

2 310, 718
155, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6747520/2

Therefore the LCM of Fractions 8320/310,3244/718 is 3373760

Greatest Common Factor of 310,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,718 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 310,718 . The biggest common factor number is the GCF number.
So the greatest common factor 310,718 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 8320/310, 3244/718

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 8320/310, 3244/718?

Answer: LCM of Numerators as per given numbers 8320/310, 3244/718 is

LCM of Numerators i.e. for 8320,3244 is 6747520

GCF of denominators i.e. for 310,718 is 2.

Thus, LCM of Fractions is 3373760.Finally, LCM of Fractions for 8320/310, 3244/718 is 3373760.