Least Common Multiple of 34/94, 68/389, 564/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/94, 68/389, 564/462 quickly i.e. 9588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/94, 68/389, 564/462 is 9588.

LCM(34/94, 68/389, 564/462) = 9588

LCM of 34/94, 68/389, 564/462

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 34/94,68/389,564/462

Given numbers are 34/94,68/389,564/462

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 34,68,564

Least Common Multiple of Numerators i.e. LCM of 34,68,564 is 9588.

GCF of Denominators means GCF of 94,389,462 as per the given fractions.

GCF of 94,389,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,68,564

LCM of Fractions 34/94,68/389,564/462 is 9588

2 34, 68, 564
2 17, 34, 282
17 17, 17, 141
1, 1, 141

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 141 = 9588

Least Common Multiple of 34,68,564 with GCF Formula

Least Common Multiple of 34,68,564 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 34,68,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,564) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(34,68,564) x common factors =2 x 68 = 136

LCM(34,68,564) = ( 34 × 68 × 564 ) / 136

LCM(34,68,564) = 1303968 / 136

LCM(34,68,564) = 9588


Lets's calculate GCF of 94,389,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9588/1

Therefore the LCM of Fractions 34/94,68/389,564/462 is 9588

Greatest Common Factor of 94,389,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,389,462 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 94,389,462 . The biggest common factor number is the GCF number.
So the greatest common factor 94,389,462 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 34/94, 68/389, 564/462

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 34/94, 68/389, 564/462?

Answer: LCM of Numerators as per given numbers 34/94, 68/389, 564/462 is

LCM of Numerators i.e. for 34,68,564 is 9588

GCF of denominators i.e. for 94,389,462 is 1.

Thus, LCM of Fractions is 9588.Finally, LCM of Fractions for 34/94, 68/389, 564/462 is 9588.