Least Common Multiple of 8314/839, 7570/6224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8314/839, 7570/6224 quickly i.e. 31468490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8314/839, 7570/6224 is 31468490.

LCM(8314/839, 7570/6224) = 31468490

LCM of 8314/839, 7570/6224

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 8314/839,7570/6224

Given numbers are 8314/839,7570/6224

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 8314,7570

Least Common Multiple of Numerators i.e. LCM of 8314,7570 is 31468490.

GCF of Denominators means GCF of 839,6224 as per the given fractions.

GCF of 839,6224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8314,7570

LCM of Fractions 8314/839,7570/6224 is 31468490

2 8314, 7570
4157, 3785

∴ So the LCM of the given numbers is 2 x 4157 x 3785 = 31468490

Least Common Multiple of 8314,7570 with GCF Formula

Least Common Multiple of 8314,7570 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 8314,7570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8314,7570) = 2

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

GCF(8314,7570) x common factors =2 x 1 = 2

LCM(8314,7570) = ( 8314 × 7570 ) / 2

LCM(8314,7570) = 62936980 / 2

LCM(8314,7570) = 31468490


Lets's calculate GCF of 839,6224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31468490/1

Therefore the LCM of Fractions 8314/839,7570/6224 is 31468490

Greatest Common Factor of 839,6224 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,6224 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1,2,4,8,16,389,778,1556,3112,6224

Greatest Common Factor

We found the factors 839,6224 . The biggest common factor number is the GCF number.
So the greatest common factor 839,6224 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 8314/839, 7570/6224

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 8314/839, 7570/6224?

Answer: LCM of Numerators as per given numbers 8314/839, 7570/6224 is

LCM of Numerators i.e. for 8314,7570 is 31468490

GCF of denominators i.e. for 839,6224 is 1.

Thus, LCM of Fractions is 31468490.Finally, LCM of Fractions for 8314/839, 7570/6224 is 31468490.