Least Common Multiple of 89/33, 92/29, 65/47, 51/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/33, 92/29, 65/47, 51/924 quickly i.e. 27143220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/33, 92/29, 65/47, 51/924 is 27143220.

LCM(89/33, 92/29, 65/47, 51/924) = 27143220

LCM of 89/33, 92/29, 65/47, 51/924

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 89/33,92/29,65/47,51/924

Given numbers are 89/33,92/29,65/47,51/924

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 89,92,65,51

Least Common Multiple of Numerators i.e. LCM of 89,92,65,51 is 27143220.

GCF of Denominators means GCF of 33,29,47,924 as per the given fractions.

GCF of 33,29,47,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,92,65,51

LCM of Fractions 89/33,92/29,65/47,51/924 is 27143220

Given numbers has no common factors except 1. So, there LCM is their product i.e 27143220

Least Common Multiple of 89,92,65,51 with GCF Formula

Least Common Multiple of 89,92,65,51 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 89,92,65,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,92,65,51) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,92,65,51) x common factors =1 x 1 = 1

LCM(89,92,65,51) = ( 89 × 92 × 65 × 51 ) / 1

LCM(89,92,65,51) = 27143220 / 1

LCM(89,92,65,51) = 27143220


Lets's calculate GCF of 33,29,47,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27143220/1

Therefore the LCM of Fractions 89/33,92/29,65/47,51/924 is 27143220

Greatest Common Factor of 33,29,47,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,29,47,924 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 29

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

1,29

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 33,29,47,924 . The biggest common factor number is the GCF number.
So the greatest common factor 33,29,47,924 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 89/33, 92/29, 65/47, 51/924

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 89/33, 92/29, 65/47, 51/924?

Answer: LCM of Numerators as per given numbers 89/33, 92/29, 65/47, 51/924 is

LCM of Numerators i.e. for 89,92,65,51 is 27143220

GCF of denominators i.e. for 33,29,47,924 is 1.

Thus, LCM of Fractions is 27143220.Finally, LCM of Fractions for 89/33, 92/29, 65/47, 51/924 is 27143220.