Least Common Multiple of 7208/865, 4605/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7208/865, 4605/398 quickly i.e. 33192840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7208/865, 4605/398 is 33192840.

LCM(7208/865, 4605/398) = 33192840

LCM of 7208/865, 4605/398

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 7208/865,4605/398

Given numbers are 7208/865,4605/398

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 7208,4605

Least Common Multiple of Numerators i.e. LCM of 7208,4605 is 33192840.

GCF of Denominators means GCF of 865,398 as per the given fractions.

GCF of 865,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7208,4605

LCM of Fractions 7208/865,4605/398 is 33192840

Given numbers has no common factors except 1. So, there LCM is their product i.e 33192840

Least Common Multiple of 7208,4605 with GCF Formula

Least Common Multiple of 7208,4605 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 7208,4605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7208,4605) = 1

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

GCF(7208,4605) x common factors =1 x 1 = 1

LCM(7208,4605) = ( 7208 × 4605 ) / 1

LCM(7208,4605) = 33192840 / 1

LCM(7208,4605) = 33192840


Lets's calculate GCF of 865,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33192840/1

Therefore the LCM of Fractions 7208/865,4605/398 is 33192840

Greatest Common Factor of 865,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,398 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 865,398 . The biggest common factor number is the GCF number.
So the greatest common factor 865,398 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7208/865, 4605/398

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 7208/865, 4605/398?

Answer: LCM of Numerators as per given numbers 7208/865, 4605/398 is

LCM of Numerators i.e. for 7208,4605 is 33192840

GCF of denominators i.e. for 865,398 is 1.

Thus, LCM of Fractions is 33192840.Finally, LCM of Fractions for 7208/865, 4605/398 is 33192840.