Least Common Multiple of 51/42, 89/96, 65/28, 52/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/42, 89/96, 65/28, 52/800 quickly i.e. 590070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/42, 89/96, 65/28, 52/800 is 590070.

LCM(51/42, 89/96, 65/28, 52/800) = 590070

LCM of 51/42, 89/96, 65/28, 52/800

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 51/42,89/96,65/28,52/800

Given numbers are 51/42,89/96,65/28,52/800

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 51,89,65,52

Least Common Multiple of Numerators i.e. LCM of 51,89,65,52 is 1180140.

GCF of Denominators means GCF of 42,96,28,800 as per the given fractions.

GCF of 42,96,28,800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,89,65,52

LCM of Fractions 51/42,89/96,65/28,52/800 is 590070

13 51, 89, 65, 52
51, 89, 5, 4

∴ So the LCM of the given numbers is 13 x 51 x 89 x 5 x 4 = 1180140

Least Common Multiple of 51,89,65,52 with GCF Formula

Least Common Multiple of 51,89,65,52 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 51,89,65,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,89,65,52) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(51,89,65,52) x common factors =1 x 13 = 13

LCM(51,89,65,52) = ( 51 × 89 × 65 × 52 ) / 13

LCM(51,89,65,52) = 15341820 / 13

LCM(51,89,65,52) = 1180140


Lets's calculate GCF of 42,96,28,800

2 42, 96, 28, 800
21, 48, 14, 400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1180140/2

Therefore the LCM of Fractions 51/42,89/96,65/28,52/800 is 590070

Greatest Common Factor of 42,96,28,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,96,28,800 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 42,96,28,800 . The biggest common factor number is the GCF number.
So the greatest common factor 42,96,28,800 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 51/42, 89/96, 65/28, 52/800

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 51/42, 89/96, 65/28, 52/800?

Answer: LCM of Numerators as per given numbers 51/42, 89/96, 65/28, 52/800 is

LCM of Numerators i.e. for 51,89,65,52 is 1180140

GCF of denominators i.e. for 42,96,28,800 is 2.

Thus, LCM of Fractions is 590070.Finally, LCM of Fractions for 51/42, 89/96, 65/28, 52/800 is 590070.