Least Common Multiple of 446/72, 735/5907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 446/72, 735/5907 quickly i.e. 109270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/72, 735/5907 is 109270.

LCM(446/72, 735/5907) = 109270

LCM of 446/72, 735/5907

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 446/72,735/5907

Given numbers are 446/72,735/5907

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 446,735

Least Common Multiple of Numerators i.e. LCM of 446,735 is 327810.

GCF of Denominators means GCF of 72,5907 as per the given fractions.

GCF of 72,5907 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,735

LCM of Fractions 446/72,735/5907 is 109270

Given numbers has no common factors except 1. So, there LCM is their product i.e 327810

Least Common Multiple of 446,735 with GCF Formula

Least Common Multiple of 446,735 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 446,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,735) = 1

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

GCF(446,735) x common factors =1 x 1 = 1

LCM(446,735) = ( 446 × 735 ) / 1

LCM(446,735) = 327810 / 1

LCM(446,735) = 327810


Lets's calculate GCF of 72,5907

3 72, 5907
24, 1969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327810/3

Therefore the LCM of Fractions 446/72,735/5907 is 109270

Greatest Common Factor of 72,5907 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5907 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 5907

List of positive integer factors of 5907 that divides 5907 without a remainder.

1,3,11,33,179,537,1969,5907

Greatest Common Factor

We found the factors 72,5907 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5907 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 446/72, 735/5907

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 446/72, 735/5907?

Answer: LCM of Numerators as per given numbers 446/72, 735/5907 is

LCM of Numerators i.e. for 446,735 is 327810

GCF of denominators i.e. for 72,5907 is 3.

Thus, LCM of Fractions is 109270.Finally, LCM of Fractions for 446/72, 735/5907 is 109270.