Least Common Multiple of 23/29, 414/34, 578/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/29, 414/34, 578/787 quickly i.e. 119646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/29, 414/34, 578/787 is 119646.

LCM(23/29, 414/34, 578/787) = 119646

LCM of 23/29, 414/34, 578/787

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 23/29,414/34,578/787

Given numbers are 23/29,414/34,578/787

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 23,414,578

Least Common Multiple of Numerators i.e. LCM of 23,414,578 is 119646.

GCF of Denominators means GCF of 29,34,787 as per the given fractions.

GCF of 29,34,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,414,578

LCM of Fractions 23/29,414/34,578/787 is 119646

2 23, 414, 578
23 23, 207, 289
1, 9, 289

∴ So the LCM of the given numbers is 2 x 23 x 1 x 9 x 289 = 119646

Least Common Multiple of 23,414,578 with GCF Formula

Least Common Multiple of 23,414,578 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 23,414,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,414,578) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(23,414,578) x common factors =1 x 46 = 46

LCM(23,414,578) = ( 23 × 414 × 578 ) / 46

LCM(23,414,578) = 5503716 / 46

LCM(23,414,578) = 119646


Lets's calculate GCF of 29,34,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119646/1

Therefore the LCM of Fractions 23/29,414/34,578/787 is 119646

Greatest Common Factor of 29,34,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,34,787 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 29,34,787 . The biggest common factor number is the GCF number.
So the greatest common factor 29,34,787 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 23/29, 414/34, 578/787

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 23/29, 414/34, 578/787?

Answer: LCM of Numerators as per given numbers 23/29, 414/34, 578/787 is

LCM of Numerators i.e. for 23,414,578 is 119646

GCF of denominators i.e. for 29,34,787 is 1.

Thus, LCM of Fractions is 119646.Finally, LCM of Fractions for 23/29, 414/34, 578/787 is 119646.