Least Common Multiple of 8218/462, 3792/7939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8218/462, 3792/7939 quickly i.e. 15581328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8218/462, 3792/7939 is 15581328.

LCM(8218/462, 3792/7939) = 15581328

LCM of 8218/462, 3792/7939

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 8218/462,3792/7939

Given numbers are 8218/462,3792/7939

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 8218,3792

Least Common Multiple of Numerators i.e. LCM of 8218,3792 is 15581328.

GCF of Denominators means GCF of 462,7939 as per the given fractions.

GCF of 462,7939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8218,3792

LCM of Fractions 8218/462,3792/7939 is 15581328

2 8218, 3792
4109, 1896

∴ So the LCM of the given numbers is 2 x 4109 x 1896 = 15581328

Least Common Multiple of 8218,3792 with GCF Formula

Least Common Multiple of 8218,3792 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 8218,3792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8218,3792) = 2

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

GCF(8218,3792) x common factors =2 x 1 = 2

LCM(8218,3792) = ( 8218 × 3792 ) / 2

LCM(8218,3792) = 31162656 / 2

LCM(8218,3792) = 15581328


Lets's calculate GCF of 462,7939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15581328/1

Therefore the LCM of Fractions 8218/462,3792/7939 is 15581328

Greatest Common Factor of 462,7939 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,7939 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 7939

List of positive integer factors of 7939 that divides 7939 without a remainder.

1,17,467,7939

Greatest Common Factor

We found the factors 462,7939 . The biggest common factor number is the GCF number.
So the greatest common factor 462,7939 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 8218/462, 3792/7939

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 8218/462, 3792/7939?

Answer: LCM of Numerators as per given numbers 8218/462, 3792/7939 is

LCM of Numerators i.e. for 8218,3792 is 15581328

GCF of denominators i.e. for 462,7939 is 1.

Thus, LCM of Fractions is 15581328.Finally, LCM of Fractions for 8218/462, 3792/7939 is 15581328.