Least Common Multiple of 8364/534, 9342/7719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8364/534, 9342/7719 quickly i.e. 4340916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8364/534, 9342/7719 is 4340916.

LCM(8364/534, 9342/7719) = 4340916

LCM of 8364/534, 9342/7719

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 8364/534,9342/7719

Given numbers are 8364/534,9342/7719

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 8364,9342

Least Common Multiple of Numerators i.e. LCM of 8364,9342 is 13022748.

GCF of Denominators means GCF of 534,7719 as per the given fractions.

GCF of 534,7719 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8364,9342

LCM of Fractions 8364/534,9342/7719 is 4340916

2 8364, 9342
3 4182, 4671
1394, 1557

∴ So the LCM of the given numbers is 2 x 3 x 1394 x 1557 = 13022748

Least Common Multiple of 8364,9342 with GCF Formula

Least Common Multiple of 8364,9342 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 8364,9342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8364,9342) = 6

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

GCF(8364,9342) x common factors =6 x 1 = 6

LCM(8364,9342) = ( 8364 × 9342 ) / 6

LCM(8364,9342) = 78136488 / 6

LCM(8364,9342) = 13022748


Lets's calculate GCF of 534,7719

3 534, 7719
178, 2573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13022748/3

Therefore the LCM of Fractions 8364/534,9342/7719 is 4340916

Greatest Common Factor of 534,7719 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,7719 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 7719

List of positive integer factors of 7719 that divides 7719 without a remainder.

1,3,31,83,93,249,2573,7719

Greatest Common Factor

We found the factors 534,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 534,7719 is 3.


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 8364/534, 9342/7719

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 8364/534, 9342/7719?

Answer: LCM of Numerators as per given numbers 8364/534, 9342/7719 is

LCM of Numerators i.e. for 8364,9342 is 13022748

GCF of denominators i.e. for 534,7719 is 3.

Thus, LCM of Fractions is 4340916.Finally, LCM of Fractions for 8364/534, 9342/7719 is 4340916.