Least Common Multiple of 2315/896, 5038/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2315/896, 5038/710 quickly i.e. 5831485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2315/896, 5038/710 is 5831485.

LCM(2315/896, 5038/710) = 5831485

LCM of 2315/896, 5038/710

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 2315/896,5038/710

Given numbers are 2315/896,5038/710

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 2315,5038

Least Common Multiple of Numerators i.e. LCM of 2315,5038 is 11662970.

GCF of Denominators means GCF of 896,710 as per the given fractions.

GCF of 896,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2315,5038

LCM of Fractions 2315/896,5038/710 is 5831485

Given numbers has no common factors except 1. So, there LCM is their product i.e 11662970

Least Common Multiple of 2315,5038 with GCF Formula

Least Common Multiple of 2315,5038 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 2315,5038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2315,5038) = 1

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

GCF(2315,5038) x common factors =1 x 1 = 1

LCM(2315,5038) = ( 2315 × 5038 ) / 1

LCM(2315,5038) = 11662970 / 1

LCM(2315,5038) = 11662970


Lets's calculate GCF of 896,710

2 896, 710
448, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11662970/2

Therefore the LCM of Fractions 2315/896,5038/710 is 5831485

Greatest Common Factor of 896,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,710 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 896,710 . The biggest common factor number is the GCF number.
So the greatest common factor 896,710 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 2315/896, 5038/710

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 2315/896, 5038/710?

Answer: LCM of Numerators as per given numbers 2315/896, 5038/710 is

LCM of Numerators i.e. for 2315,5038 is 11662970

GCF of denominators i.e. for 896,710 is 2.

Thus, LCM of Fractions is 5831485.Finally, LCM of Fractions for 2315/896, 5038/710 is 5831485.