Least Common Multiple of 804/31, 689/9149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 804/31, 689/9149 quickly i.e. 553956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/31, 689/9149 is 553956.

LCM(804/31, 689/9149) = 553956

LCM of 804/31, 689/9149

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 804/31,689/9149

Given numbers are 804/31,689/9149

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 804,689

Least Common Multiple of Numerators i.e. LCM of 804,689 is 553956.

GCF of Denominators means GCF of 31,9149 as per the given fractions.

GCF of 31,9149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,689

LCM of Fractions 804/31,689/9149 is 553956

Given numbers has no common factors except 1. So, there LCM is their product i.e 553956

Least Common Multiple of 804,689 with GCF Formula

Least Common Multiple of 804,689 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 804,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,689) = 1

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

GCF(804,689) x common factors =1 x 1 = 1

LCM(804,689) = ( 804 × 689 ) / 1

LCM(804,689) = 553956 / 1

LCM(804,689) = 553956


Lets's calculate GCF of 31,9149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553956/1

Therefore the LCM of Fractions 804/31,689/9149 is 553956

Greatest Common Factor of 31,9149 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,9149 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1,7,1307,9149

Greatest Common Factor

We found the factors 31,9149 . The biggest common factor number is the GCF number.
So the greatest common factor 31,9149 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 804/31, 689/9149

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 804/31, 689/9149?

Answer: LCM of Numerators as per given numbers 804/31, 689/9149 is

LCM of Numerators i.e. for 804,689 is 553956

GCF of denominators i.e. for 31,9149 is 1.

Thus, LCM of Fractions is 553956.Finally, LCM of Fractions for 804/31, 689/9149 is 553956.