Least Common Multiple of 899/45, 837/12, 437/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 899/45, 837/12, 437/783 quickly i.e. 3535767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 899/45, 837/12, 437/783 is 3535767.

LCM(899/45, 837/12, 437/783) = 3535767

LCM of 899/45, 837/12, 437/783

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 899/45,837/12,437/783

Given numbers are 899/45,837/12,437/783

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 899,837,437

Least Common Multiple of Numerators i.e. LCM of 899,837,437 is 10607301.

GCF of Denominators means GCF of 45,12,783 as per the given fractions.

GCF of 45,12,783 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 899,837,437

LCM of Fractions 899/45,837/12,437/783 is 3535767

31 899, 837, 437
29, 27, 437

∴ So the LCM of the given numbers is 31 x 29 x 27 x 437 = 10607301

Least Common Multiple of 899,837,437 with GCF Formula

Least Common Multiple of 899,837,437 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 899,837,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,837,437) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(899,837,437) x common factors =1 x 31 = 31

LCM(899,837,437) = ( 899 × 837 × 437 ) / 31

LCM(899,837,437) = 328826331 / 31

LCM(899,837,437) = 10607301


Lets's calculate GCF of 45,12,783

3 45, 12, 783
15, 4, 261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10607301/3

Therefore the LCM of Fractions 899/45,837/12,437/783 is 3535767

Greatest Common Factor of 45,12,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,12,783 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 45,12,783 . The biggest common factor number is the GCF number.
So the greatest common factor 45,12,783 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 899/45, 837/12, 437/783

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 899/45, 837/12, 437/783?

Answer: LCM of Numerators as per given numbers 899/45, 837/12, 437/783 is

LCM of Numerators i.e. for 899,837,437 is 10607301

GCF of denominators i.e. for 45,12,783 is 3.

Thus, LCM of Fractions is 3535767.Finally, LCM of Fractions for 899/45, 837/12, 437/783 is 3535767.