Least Common Multiple of 34/889, 33/594, 891/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/889, 33/594, 891/632 quickly i.e. 30294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/889, 33/594, 891/632 is 30294.

LCM(34/889, 33/594, 891/632) = 30294

LCM of 34/889, 33/594, 891/632

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 34/889,33/594,891/632

Given numbers are 34/889,33/594,891/632

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 34,33,891

Least Common Multiple of Numerators i.e. LCM of 34,33,891 is 30294.

GCF of Denominators means GCF of 889,594,632 as per the given fractions.

GCF of 889,594,632 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,33,891

LCM of Fractions 34/889,33/594,891/632 is 30294

3 34, 33, 891
11 34, 11, 297
34, 1, 27

∴ So the LCM of the given numbers is 3 x 11 x 34 x 1 x 27 = 30294

Least Common Multiple of 34,33,891 with GCF Formula

Least Common Multiple of 34,33,891 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 34,33,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,33,891) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(34,33,891) x common factors =1 x 33 = 33

LCM(34,33,891) = ( 34 × 33 × 891 ) / 33

LCM(34,33,891) = 999702 / 33

LCM(34,33,891) = 30294


Lets's calculate GCF of 889,594,632

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30294/1

Therefore the LCM of Fractions 34/889,33/594,891/632 is 30294

Greatest Common Factor of 889,594,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,594,632 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 889,594,632 . The biggest common factor number is the GCF number.
So the greatest common factor 889,594,632 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 34/889, 33/594, 891/632

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 34/889, 33/594, 891/632?

Answer: LCM of Numerators as per given numbers 34/889, 33/594, 891/632 is

LCM of Numerators i.e. for 34,33,891 is 30294

GCF of denominators i.e. for 889,594,632 is 1.

Thus, LCM of Fractions is 30294.Finally, LCM of Fractions for 34/889, 33/594, 891/632 is 30294.