Least Common Multiple of 689/73, 433/79, 755/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/73, 433/79, 755/78 quickly i.e. 225244435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/73, 433/79, 755/78 is 225244435.

LCM(689/73, 433/79, 755/78) = 225244435

LCM of 689/73, 433/79, 755/78

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 689/73,433/79,755/78

Given numbers are 689/73,433/79,755/78

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 689,433,755

Least Common Multiple of Numerators i.e. LCM of 689,433,755 is 225244435.

GCF of Denominators means GCF of 73,79,78 as per the given fractions.

GCF of 73,79,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,433,755

LCM of Fractions 689/73,433/79,755/78 is 225244435

Given numbers has no common factors except 1. So, there LCM is their product i.e 225244435

Least Common Multiple of 689,433,755 with GCF Formula

Least Common Multiple of 689,433,755 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 689,433,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,433,755) = 1

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

GCF(689,433,755) x common factors =1 x 1 = 1

LCM(689,433,755) = ( 689 × 433 × 755 ) / 1

LCM(689,433,755) = 225244435 / 1

LCM(689,433,755) = 225244435


Lets's calculate GCF of 73,79,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225244435/1

Therefore the LCM of Fractions 689/73,433/79,755/78 is 225244435

Greatest Common Factor of 73,79,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,79,78 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 73,79,78 . The biggest common factor number is the GCF number.
So the greatest common factor 73,79,78 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 689/73, 433/79, 755/78

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 689/73, 433/79, 755/78?

Answer: LCM of Numerators as per given numbers 689/73, 433/79, 755/78 is

LCM of Numerators i.e. for 689,433,755 is 225244435

GCF of denominators i.e. for 73,79,78 is 1.

Thus, LCM of Fractions is 225244435.Finally, LCM of Fractions for 689/73, 433/79, 755/78 is 225244435.