Least Common Multiple of 232/65, 404/19, 707/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 232/65, 404/19, 707/613 quickly i.e. 164024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/65, 404/19, 707/613 is 164024.

LCM(232/65, 404/19, 707/613) = 164024

LCM of 232/65, 404/19, 707/613

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 232/65,404/19,707/613

Given numbers are 232/65,404/19,707/613

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 232,404,707

Least Common Multiple of Numerators i.e. LCM of 232,404,707 is 164024.

GCF of Denominators means GCF of 65,19,613 as per the given fractions.

GCF of 65,19,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,404,707

LCM of Fractions 232/65,404/19,707/613 is 164024

2 232, 404, 707
2 116, 202, 707
101 58, 101, 707
58, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 101 x 58 x 1 x 7 = 164024

Least Common Multiple of 232,404,707 with GCF Formula

Least Common Multiple of 232,404,707 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 232,404,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,404,707) = 1

common factors(in case of two or more numbers have common factors) = 404

GCF(232,404,707) x common factors =1 x 404 = 404

LCM(232,404,707) = ( 232 × 404 × 707 ) / 404

LCM(232,404,707) = 66265696 / 404

LCM(232,404,707) = 164024


Lets's calculate GCF of 65,19,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164024/1

Therefore the LCM of Fractions 232/65,404/19,707/613 is 164024

Greatest Common Factor of 65,19,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,19,613 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 65,19,613 . The biggest common factor number is the GCF number.
So the greatest common factor 65,19,613 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 232/65, 404/19, 707/613

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 232/65, 404/19, 707/613?

Answer: LCM of Numerators as per given numbers 232/65, 404/19, 707/613 is

LCM of Numerators i.e. for 232,404,707 is 164024

GCF of denominators i.e. for 65,19,613 is 1.

Thus, LCM of Fractions is 164024.Finally, LCM of Fractions for 232/65, 404/19, 707/613 is 164024.