Least Common Multiple of 733/69, 391/73, 756/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/69, 391/73, 756/674 quickly i.e. 216671868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/69, 391/73, 756/674 is 216671868.

LCM(733/69, 391/73, 756/674) = 216671868

LCM of 733/69, 391/73, 756/674

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 733/69,391/73,756/674

Given numbers are 733/69,391/73,756/674

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 733,391,756

Least Common Multiple of Numerators i.e. LCM of 733,391,756 is 216671868.

GCF of Denominators means GCF of 69,73,674 as per the given fractions.

GCF of 69,73,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,391,756

LCM of Fractions 733/69,391/73,756/674 is 216671868

Given numbers has no common factors except 1. So, there LCM is their product i.e 216671868

Least Common Multiple of 733,391,756 with GCF Formula

Least Common Multiple of 733,391,756 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 733,391,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,391,756) = 1

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

GCF(733,391,756) x common factors =1 x 1 = 1

LCM(733,391,756) = ( 733 × 391 × 756 ) / 1

LCM(733,391,756) = 216671868 / 1

LCM(733,391,756) = 216671868


Lets's calculate GCF of 69,73,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216671868/1

Therefore the LCM of Fractions 733/69,391/73,756/674 is 216671868

Greatest Common Factor of 69,73,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,73,674 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 73

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

1,73

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 69,73,674 . The biggest common factor number is the GCF number.
So the greatest common factor 69,73,674 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 733/69, 391/73, 756/674

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 733/69, 391/73, 756/674?

Answer: LCM of Numerators as per given numbers 733/69, 391/73, 756/674 is

LCM of Numerators i.e. for 733,391,756 is 216671868

GCF of denominators i.e. for 69,73,674 is 1.

Thus, LCM of Fractions is 216671868.Finally, LCM of Fractions for 733/69, 391/73, 756/674 is 216671868.