Least Common Multiple of 733/77, 682/60, 730/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 733/77, 682/60, 730/456 quickly i.e. 182465690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 733/77, 682/60, 730/456 is 182465690.

LCM(733/77, 682/60, 730/456) = 182465690

LCM of 733/77, 682/60, 730/456

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 733/77,682/60,730/456

Given numbers are 733/77,682/60,730/456

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 733,682,730

Least Common Multiple of Numerators i.e. LCM of 733,682,730 is 182465690.

GCF of Denominators means GCF of 77,60,456 as per the given fractions.

GCF of 77,60,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 733,682,730

LCM of Fractions 733/77,682/60,730/456 is 182465690

2 733, 682, 730
733, 341, 365

∴ So the LCM of the given numbers is 2 x 733 x 341 x 365 = 182465690

Least Common Multiple of 733,682,730 with GCF Formula

Least Common Multiple of 733,682,730 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 733,682,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,682,730) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(733,682,730) x common factors =1 x 2 = 2

LCM(733,682,730) = ( 733 × 682 × 730 ) / 2

LCM(733,682,730) = 364931380 / 2

LCM(733,682,730) = 182465690


Lets's calculate GCF of 77,60,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182465690/1

Therefore the LCM of Fractions 733/77,682/60,730/456 is 182465690

Greatest Common Factor of 77,60,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,60,456 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

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

Greatest Common Factor

We found the factors 77,60,456 . The biggest common factor number is the GCF number.
So the greatest common factor 77,60,456 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 733/77, 682/60, 730/456

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 733/77, 682/60, 730/456?

Answer: LCM of Numerators as per given numbers 733/77, 682/60, 730/456 is

LCM of Numerators i.e. for 733,682,730 is 182465690

GCF of denominators i.e. for 77,60,456 is 1.

Thus, LCM of Fractions is 182465690.Finally, LCM of Fractions for 733/77, 682/60, 730/456 is 182465690.