Least Common Multiple of 69/67, 51/58, 704/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/67, 51/58, 704/23 quickly i.e. 825792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/67, 51/58, 704/23 is 825792.

LCM(69/67, 51/58, 704/23) = 825792

LCM of 69/67, 51/58, 704/23

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 69/67,51/58,704/23

Given numbers are 69/67,51/58,704/23

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 69,51,704

Least Common Multiple of Numerators i.e. LCM of 69,51,704 is 825792.

GCF of Denominators means GCF of 67,58,23 as per the given fractions.

GCF of 67,58,23 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,51,704

LCM of Fractions 69/67,51/58,704/23 is 825792

3 69, 51, 704
23, 17, 704

∴ So the LCM of the given numbers is 3 x 23 x 17 x 704 = 825792

Least Common Multiple of 69,51,704 with GCF Formula

Least Common Multiple of 69,51,704 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 69,51,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,51,704) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,51,704) x common factors =1 x 3 = 3

LCM(69,51,704) = ( 69 × 51 × 704 ) / 3

LCM(69,51,704) = 2477376 / 3

LCM(69,51,704) = 825792


Lets's calculate GCF of 67,58,23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 825792/1

Therefore the LCM of Fractions 69/67,51/58,704/23 is 825792

Greatest Common Factor of 67,58,23 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,58,23 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Greatest Common Factor

We found the factors 67,58,23 . The biggest common factor number is the GCF number.
So the greatest common factor 67,58,23 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 69/67, 51/58, 704/23

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 69/67, 51/58, 704/23?

Answer: LCM of Numerators as per given numbers 69/67, 51/58, 704/23 is

LCM of Numerators i.e. for 69,51,704 is 825792

GCF of denominators i.e. for 67,58,23 is 1.

Thus, LCM of Fractions is 825792.Finally, LCM of Fractions for 69/67, 51/58, 704/23 is 825792.