Least Common Multiple of 92/72, 556/65, 914/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/72, 556/65, 914/600 quickly i.e. 5844116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/72, 556/65, 914/600 is 5844116.

LCM(92/72, 556/65, 914/600) = 5844116

LCM of 92/72, 556/65, 914/600

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 92/72,556/65,914/600

Given numbers are 92/72,556/65,914/600

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 92,556,914

Least Common Multiple of Numerators i.e. LCM of 92,556,914 is 5844116.

GCF of Denominators means GCF of 72,65,600 as per the given fractions.

GCF of 72,65,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,556,914

LCM of Fractions 92/72,556/65,914/600 is 5844116

2 92, 556, 914
2 46, 278, 457
23, 139, 457

∴ So the LCM of the given numbers is 2 x 2 x 23 x 139 x 457 = 5844116

Least Common Multiple of 92,556,914 with GCF Formula

Least Common Multiple of 92,556,914 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 92,556,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,556,914) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,556,914) x common factors =2 x 4 = 8

LCM(92,556,914) = ( 92 × 556 × 914 ) / 8

LCM(92,556,914) = 46752928 / 8

LCM(92,556,914) = 5844116


Lets's calculate GCF of 72,65,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5844116/1

Therefore the LCM of Fractions 92/72,556/65,914/600 is 5844116

Greatest Common Factor of 72,65,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,65,600 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 72,65,600 . The biggest common factor number is the GCF number.
So the greatest common factor 72,65,600 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 92/72, 556/65, 914/600

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 92/72, 556/65, 914/600?

Answer: LCM of Numerators as per given numbers 92/72, 556/65, 914/600 is

LCM of Numerators i.e. for 92,556,914 is 5844116

GCF of denominators i.e. for 72,65,600 is 1.

Thus, LCM of Fractions is 5844116.Finally, LCM of Fractions for 92/72, 556/65, 914/600 is 5844116.