Least Common Multiple of 23/75, 43/209, 457/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/75, 43/209, 457/682 quickly i.e. 451973 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/75, 43/209, 457/682 is 451973.

LCM(23/75, 43/209, 457/682) = 451973

LCM of 23/75, 43/209, 457/682

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 23/75,43/209,457/682

Given numbers are 23/75,43/209,457/682

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 23,43,457

Least Common Multiple of Numerators i.e. LCM of 23,43,457 is 451973.

GCF of Denominators means GCF of 75,209,682 as per the given fractions.

GCF of 75,209,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,43,457

LCM of Fractions 23/75,43/209,457/682 is 451973

Given numbers has no common factors except 1. So, there LCM is their product i.e 451973

Least Common Multiple of 23,43,457 with GCF Formula

Least Common Multiple of 23,43,457 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 23,43,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,43,457) = 1

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

GCF(23,43,457) x common factors =1 x 1 = 1

LCM(23,43,457) = ( 23 × 43 × 457 ) / 1

LCM(23,43,457) = 451973 / 1

LCM(23,43,457) = 451973


Lets's calculate GCF of 75,209,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451973/1

Therefore the LCM of Fractions 23/75,43/209,457/682 is 451973

Greatest Common Factor of 75,209,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,209,682 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 75,209,682 . The biggest common factor number is the GCF number.
So the greatest common factor 75,209,682 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 23/75, 43/209, 457/682

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 23/75, 43/209, 457/682?

Answer: LCM of Numerators as per given numbers 23/75, 43/209, 457/682 is

LCM of Numerators i.e. for 23,43,457 is 451973

GCF of denominators i.e. for 75,209,682 is 1.

Thus, LCM of Fractions is 451973.Finally, LCM of Fractions for 23/75, 43/209, 457/682 is 451973.