Least Common Multiple of 65/45, 89/75, 398/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/45, 89/75, 398/658 quickly i.e. 2302430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/45, 89/75, 398/658 is 2302430.

LCM(65/45, 89/75, 398/658) = 2302430

LCM of 65/45, 89/75, 398/658

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 65/45,89/75,398/658

Given numbers are 65/45,89/75,398/658

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 65,89,398

Least Common Multiple of Numerators i.e. LCM of 65,89,398 is 2302430.

GCF of Denominators means GCF of 45,75,658 as per the given fractions.

GCF of 45,75,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,89,398

LCM of Fractions 65/45,89/75,398/658 is 2302430

Given numbers has no common factors except 1. So, there LCM is their product i.e 2302430

Least Common Multiple of 65,89,398 with GCF Formula

Least Common Multiple of 65,89,398 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 65,89,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,89,398) = 1

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

GCF(65,89,398) x common factors =1 x 1 = 1

LCM(65,89,398) = ( 65 × 89 × 398 ) / 1

LCM(65,89,398) = 2302430 / 1

LCM(65,89,398) = 2302430


Lets's calculate GCF of 45,75,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2302430/1

Therefore the LCM of Fractions 65/45,89/75,398/658 is 2302430

Greatest Common Factor of 45,75,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,75,658 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 45,75,658 . The biggest common factor number is the GCF number.
So the greatest common factor 45,75,658 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 65/45, 89/75, 398/658

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 65/45, 89/75, 398/658?

Answer: LCM of Numerators as per given numbers 65/45, 89/75, 398/658 is

LCM of Numerators i.e. for 65,89,398 is 2302430

GCF of denominators i.e. for 45,75,658 is 1.

Thus, LCM of Fractions is 2302430.Finally, LCM of Fractions for 65/45, 89/75, 398/658 is 2302430.