Least Common Multiple of 44/60, 693/99, 200/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/60, 693/99, 200/735 quickly i.e. 46200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/60, 693/99, 200/735 is 46200.

LCM(44/60, 693/99, 200/735) = 46200

LCM of 44/60, 693/99, 200/735

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 44/60,693/99,200/735

Given numbers are 44/60,693/99,200/735

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 44,693,200

Least Common Multiple of Numerators i.e. LCM of 44,693,200 is 138600.

GCF of Denominators means GCF of 60,99,735 as per the given fractions.

GCF of 60,99,735 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,693,200

LCM of Fractions 44/60,693/99,200/735 is 46200

2 44, 693, 200
2 22, 693, 100
11 11, 693, 50
1, 63, 50

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 63 x 50 = 138600

Least Common Multiple of 44,693,200 with GCF Formula

Least Common Multiple of 44,693,200 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 44,693,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,693,200) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(44,693,200) x common factors =1 x 44 = 44

LCM(44,693,200) = ( 44 × 693 × 200 ) / 44

LCM(44,693,200) = 6098400 / 44

LCM(44,693,200) = 138600


Lets's calculate GCF of 60,99,735

3 60, 99, 735
20, 33, 245

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138600/3

Therefore the LCM of Fractions 44/60,693/99,200/735 is 46200

Greatest Common Factor of 60,99,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,99,735 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 60,99,735 . The biggest common factor number is the GCF number.
So the greatest common factor 60,99,735 is 3.


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 44/60, 693/99, 200/735

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 44/60, 693/99, 200/735?

Answer: LCM of Numerators as per given numbers 44/60, 693/99, 200/735 is

LCM of Numerators i.e. for 44,693,200 is 138600

GCF of denominators i.e. for 60,99,735 is 3.

Thus, LCM of Fractions is 46200.Finally, LCM of Fractions for 44/60, 693/99, 200/735 is 46200.