Least Common Multiple of 29/342, 617/446, 928/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/342, 617/446, 928/572 quickly i.e. 286288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/342, 617/446, 928/572 is 286288.

LCM(29/342, 617/446, 928/572) = 286288

LCM of 29/342, 617/446, 928/572

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 29/342,617/446,928/572

Given numbers are 29/342,617/446,928/572

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 29,617,928

Least Common Multiple of Numerators i.e. LCM of 29,617,928 is 572576.

GCF of Denominators means GCF of 342,446,572 as per the given fractions.

GCF of 342,446,572 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,617,928

LCM of Fractions 29/342,617/446,928/572 is 286288

29 29, 617, 928
1, 617, 32

∴ So the LCM of the given numbers is 29 x 1 x 617 x 32 = 572576

Least Common Multiple of 29,617,928 with GCF Formula

Least Common Multiple of 29,617,928 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 29,617,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,617,928) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,617,928) x common factors =1 x 29 = 29

LCM(29,617,928) = ( 29 × 617 × 928 ) / 29

LCM(29,617,928) = 16604704 / 29

LCM(29,617,928) = 572576


Lets's calculate GCF of 342,446,572

2 342, 446, 572
171, 223, 286

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572576/2

Therefore the LCM of Fractions 29/342,617/446,928/572 is 286288

Greatest Common Factor of 342,446,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,446,572 By Matching Biggest Common Factor Method

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 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 342,446,572 . The biggest common factor number is the GCF number.
So the greatest common factor 342,446,572 is 2.


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 29/342, 617/446, 928/572

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 29/342, 617/446, 928/572?

Answer: LCM of Numerators as per given numbers 29/342, 617/446, 928/572 is

LCM of Numerators i.e. for 29,617,928 is 572576

GCF of denominators i.e. for 342,446,572 is 2.

Thus, LCM of Fractions is 286288.Finally, LCM of Fractions for 29/342, 617/446, 928/572 is 286288.