Least Common Multiple of 8239/62, 4585/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8239/62, 4585/468 quickly i.e. 5396545/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8239/62, 4585/468 is 5396545/2.

LCM(8239/62, 4585/468) = 5396545/2

LCM of 8239/62, 4585/468

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 8239/62,4585/468

Given numbers are 8239/62,4585/468

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 8239,4585

Least Common Multiple of Numerators i.e. LCM of 8239,4585 is 5396545.

GCF of Denominators means GCF of 62,468 as per the given fractions.

GCF of 62,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8239,4585

LCM of Fractions 8239/62,4585/468 is 5396545/2

7 8239, 4585
1177, 655

∴ So the LCM of the given numbers is 7 x 1177 x 655 = 5396545

Least Common Multiple of 8239,4585 with GCF Formula

Least Common Multiple of 8239,4585 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 8239,4585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8239,4585) = 7

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

GCF(8239,4585) x common factors =7 x 1 = 7

LCM(8239,4585) = ( 8239 × 4585 ) / 7

LCM(8239,4585) = 37775815 / 7

LCM(8239,4585) = 5396545


Lets's calculate GCF of 62,468

2 62, 468
31, 234

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5396545/2

Therefore the LCM of Fractions 8239/62,4585/468 is 5396545/2

Greatest Common Factor of 62,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,468 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 62,468 . The biggest common factor number is the GCF number.
So the greatest common factor 62,468 is 2.


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 8239/62, 4585/468

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 8239/62, 4585/468?

Answer: LCM of Numerators as per given numbers 8239/62, 4585/468 is

LCM of Numerators i.e. for 8239,4585 is 5396545

GCF of denominators i.e. for 62,468 is 2.

Thus, LCM of Fractions is 5396545/2.Finally, LCM of Fractions for 8239/62, 4585/468 is 5396545/2.