Least Common Multiple of 233/689, 678/274, 152/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/689, 678/274, 152/355 quickly i.e. 12006024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/689, 678/274, 152/355 is 12006024.

LCM(233/689, 678/274, 152/355) = 12006024

LCM of 233/689, 678/274, 152/355

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 233/689,678/274,152/355

Given numbers are 233/689,678/274,152/355

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 233,678,152

Least Common Multiple of Numerators i.e. LCM of 233,678,152 is 12006024.

GCF of Denominators means GCF of 689,274,355 as per the given fractions.

GCF of 689,274,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,678,152

LCM of Fractions 233/689,678/274,152/355 is 12006024

2 233, 678, 152
233, 339, 76

∴ So the LCM of the given numbers is 2 x 233 x 339 x 76 = 12006024

Least Common Multiple of 233,678,152 with GCF Formula

Least Common Multiple of 233,678,152 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 233,678,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,678,152) = 1

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

GCF(233,678,152) x common factors =1 x 2 = 2

LCM(233,678,152) = ( 233 × 678 × 152 ) / 2

LCM(233,678,152) = 24012048 / 2

LCM(233,678,152) = 12006024


Lets's calculate GCF of 689,274,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12006024/1

Therefore the LCM of Fractions 233/689,678/274,152/355 is 12006024

Greatest Common Factor of 689,274,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,274,355 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 689,274,355 . The biggest common factor number is the GCF number.
So the greatest common factor 689,274,355 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 233/689, 678/274, 152/355

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 233/689, 678/274, 152/355?

Answer: LCM of Numerators as per given numbers 233/689, 678/274, 152/355 is

LCM of Numerators i.e. for 233,678,152 is 12006024

GCF of denominators i.e. for 689,274,355 is 1.

Thus, LCM of Fractions is 12006024.Finally, LCM of Fractions for 233/689, 678/274, 152/355 is 12006024.