Least Common Multiple of 721/33, 257/31, 689/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/33, 257/31, 689/912 quickly i.e. 127669633 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/33, 257/31, 689/912 is 127669633.

LCM(721/33, 257/31, 689/912) = 127669633

LCM of 721/33, 257/31, 689/912

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 721/33,257/31,689/912

Given numbers are 721/33,257/31,689/912

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 721,257,689

Least Common Multiple of Numerators i.e. LCM of 721,257,689 is 127669633.

GCF of Denominators means GCF of 33,31,912 as per the given fractions.

GCF of 33,31,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,257,689

LCM of Fractions 721/33,257/31,689/912 is 127669633

Given numbers has no common factors except 1. So, there LCM is their product i.e 127669633

Least Common Multiple of 721,257,689 with GCF Formula

Least Common Multiple of 721,257,689 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 721,257,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,257,689) = 1

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

GCF(721,257,689) x common factors =1 x 1 = 1

LCM(721,257,689) = ( 721 × 257 × 689 ) / 1

LCM(721,257,689) = 127669633 / 1

LCM(721,257,689) = 127669633


Lets's calculate GCF of 33,31,912

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127669633/1

Therefore the LCM of Fractions 721/33,257/31,689/912 is 127669633

Greatest Common Factor of 33,31,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,31,912 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 31

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

1,31

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 33,31,912 . The biggest common factor number is the GCF number.
So the greatest common factor 33,31,912 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 721/33, 257/31, 689/912

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 721/33, 257/31, 689/912?

Answer: LCM of Numerators as per given numbers 721/33, 257/31, 689/912 is

LCM of Numerators i.e. for 721,257,689 is 127669633

GCF of denominators i.e. for 33,31,912 is 1.

Thus, LCM of Fractions is 127669633.Finally, LCM of Fractions for 721/33, 257/31, 689/912 is 127669633.