Least Common Multiple of 7399/834, 8864/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7399/834, 8864/315 quickly i.e. 65584736/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7399/834, 8864/315 is 65584736/3.

LCM(7399/834, 8864/315) = 65584736/3

LCM of 7399/834, 8864/315

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 7399/834,8864/315

Given numbers are 7399/834,8864/315

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 7399,8864

Least Common Multiple of Numerators i.e. LCM of 7399,8864 is 65584736.

GCF of Denominators means GCF of 834,315 as per the given fractions.

GCF of 834,315 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7399,8864

LCM of Fractions 7399/834,8864/315 is 65584736/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 65584736

Least Common Multiple of 7399,8864 with GCF Formula

Least Common Multiple of 7399,8864 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 7399,8864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7399,8864) = 1

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

GCF(7399,8864) x common factors =1 x 1 = 1

LCM(7399,8864) = ( 7399 × 8864 ) / 1

LCM(7399,8864) = 65584736 / 1

LCM(7399,8864) = 65584736


Lets's calculate GCF of 834,315

3 834, 315
278, 105

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65584736/3

Therefore the LCM of Fractions 7399/834,8864/315 is 65584736/3

Greatest Common Factor of 834,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,315 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 834,315 . The biggest common factor number is the GCF number.
So the greatest common factor 834,315 is 3.


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Frequently Asked Questions on Fractional LCM of 7399/834, 8864/315

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 7399/834, 8864/315?

Answer: LCM of Numerators as per given numbers 7399/834, 8864/315 is

LCM of Numerators i.e. for 7399,8864 is 65584736

GCF of denominators i.e. for 834,315 is 3.

Thus, LCM of Fractions is 65584736/3.Finally, LCM of Fractions for 7399/834, 8864/315 is 65584736/3.