Least Common Multiple of 23/609, 408/329, 207/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/609, 408/329, 207/987 quickly i.e. 28152/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/609, 408/329, 207/987 is 28152/7.

LCM(23/609, 408/329, 207/987) = 28152/7

LCM of 23/609, 408/329, 207/987

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 23/609,408/329,207/987

Given numbers are 23/609,408/329,207/987

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 23,408,207

Least Common Multiple of Numerators i.e. LCM of 23,408,207 is 28152.

GCF of Denominators means GCF of 609,329,987 as per the given fractions.

GCF of 609,329,987 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,408,207

LCM of Fractions 23/609,408/329,207/987 is 28152/7

3 23, 408, 207
23 23, 136, 69
1, 136, 3

∴ So the LCM of the given numbers is 3 x 23 x 1 x 136 x 3 = 28152

Least Common Multiple of 23,408,207 with GCF Formula

Least Common Multiple of 23,408,207 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 23,408,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,408,207) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(23,408,207) x common factors =1 x 69 = 69

LCM(23,408,207) = ( 23 × 408 × 207 ) / 69

LCM(23,408,207) = 1942488 / 69

LCM(23,408,207) = 28152


Lets's calculate GCF of 609,329,987

7 609, 329, 987
87, 47, 141

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28152/7

Therefore the LCM of Fractions 23/609,408/329,207/987 is 28152/7

Greatest Common Factor of 609,329,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,329,987 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 609,329,987 . The biggest common factor number is the GCF number.
So the greatest common factor 609,329,987 is 7.


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 23/609, 408/329, 207/987

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 23/609, 408/329, 207/987?

Answer: LCM of Numerators as per given numbers 23/609, 408/329, 207/987 is

LCM of Numerators i.e. for 23,408,207 is 28152

GCF of denominators i.e. for 609,329,987 is 7.

Thus, LCM of Fractions is 28152/7.Finally, LCM of Fractions for 23/609, 408/329, 207/987 is 28152/7.