Least Common Multiple of 34/723, 29/342, 730/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/723, 29/342, 730/623 quickly i.e. 359890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/723, 29/342, 730/623 is 359890.

LCM(34/723, 29/342, 730/623) = 359890

LCM of 34/723, 29/342, 730/623

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 34/723,29/342,730/623

Given numbers are 34/723,29/342,730/623

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 34,29,730

Least Common Multiple of Numerators i.e. LCM of 34,29,730 is 359890.

GCF of Denominators means GCF of 723,342,623 as per the given fractions.

GCF of 723,342,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,29,730

LCM of Fractions 34/723,29/342,730/623 is 359890

2 34, 29, 730
17, 29, 365

∴ So the LCM of the given numbers is 2 x 17 x 29 x 365 = 359890

Least Common Multiple of 34,29,730 with GCF Formula

Least Common Multiple of 34,29,730 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 34,29,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,29,730) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,29,730) x common factors =1 x 2 = 2

LCM(34,29,730) = ( 34 × 29 × 730 ) / 2

LCM(34,29,730) = 719780 / 2

LCM(34,29,730) = 359890


Lets's calculate GCF of 723,342,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359890/1

Therefore the LCM of Fractions 34/723,29/342,730/623 is 359890

Greatest Common Factor of 723,342,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,342,623 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 723,342,623 . The biggest common factor number is the GCF number.
So the greatest common factor 723,342,623 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 34/723, 29/342, 730/623

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 34/723, 29/342, 730/623?

Answer: LCM of Numerators as per given numbers 34/723, 29/342, 730/623 is

LCM of Numerators i.e. for 34,29,730 is 359890

GCF of denominators i.e. for 723,342,623 is 1.

Thus, LCM of Fractions is 359890.Finally, LCM of Fractions for 34/723, 29/342, 730/623 is 359890.