Least Common Multiple of 8214/967, 5842/7673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8214/967, 5842/7673 quickly i.e. 23993094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8214/967, 5842/7673 is 23993094.

LCM(8214/967, 5842/7673) = 23993094

LCM of 8214/967, 5842/7673

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 8214/967,5842/7673

Given numbers are 8214/967,5842/7673

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 8214,5842

Least Common Multiple of Numerators i.e. LCM of 8214,5842 is 23993094.

GCF of Denominators means GCF of 967,7673 as per the given fractions.

GCF of 967,7673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8214,5842

LCM of Fractions 8214/967,5842/7673 is 23993094

2 8214, 5842
4107, 2921

∴ So the LCM of the given numbers is 2 x 4107 x 2921 = 23993094

Least Common Multiple of 8214,5842 with GCF Formula

Least Common Multiple of 8214,5842 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 8214,5842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8214,5842) = 2

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

GCF(8214,5842) x common factors =2 x 1 = 2

LCM(8214,5842) = ( 8214 × 5842 ) / 2

LCM(8214,5842) = 47986188 / 2

LCM(8214,5842) = 23993094


Lets's calculate GCF of 967,7673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23993094/1

Therefore the LCM of Fractions 8214/967,5842/7673 is 23993094

Greatest Common Factor of 967,7673 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,7673 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 7673

List of positive integer factors of 7673 that divides 7673 without a remainder.

1,7673

Greatest Common Factor

We found the factors 967,7673 . The biggest common factor number is the GCF number.
So the greatest common factor 967,7673 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 8214/967, 5842/7673

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 8214/967, 5842/7673?

Answer: LCM of Numerators as per given numbers 8214/967, 5842/7673 is

LCM of Numerators i.e. for 8214,5842 is 23993094

GCF of denominators i.e. for 967,7673 is 1.

Thus, LCM of Fractions is 23993094.Finally, LCM of Fractions for 8214/967, 5842/7673 is 23993094.