Least Common Multiple of 65/354, 231/768, 544/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/354, 231/768, 544/678 quickly i.e. 1361360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/354, 231/768, 544/678 is 1361360.

LCM(65/354, 231/768, 544/678) = 1361360

LCM of 65/354, 231/768, 544/678

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 65/354,231/768,544/678

Given numbers are 65/354,231/768,544/678

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 65,231,544

Least Common Multiple of Numerators i.e. LCM of 65,231,544 is 8168160.

GCF of Denominators means GCF of 354,768,678 as per the given fractions.

GCF of 354,768,678 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,231,544

LCM of Fractions 65/354,231/768,544/678 is 1361360

Given numbers has no common factors except 1. So, there LCM is their product i.e 8168160

Least Common Multiple of 65,231,544 with GCF Formula

Least Common Multiple of 65,231,544 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 65,231,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,231,544) = 1

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

GCF(65,231,544) x common factors =1 x 1 = 1

LCM(65,231,544) = ( 65 × 231 × 544 ) / 1

LCM(65,231,544) = 8168160 / 1

LCM(65,231,544) = 8168160


Lets's calculate GCF of 354,768,678

2 354, 768, 678
3 177, 384, 339
59, 128, 113

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8168160/6

Therefore the LCM of Fractions 65/354,231/768,544/678 is 1361360

Greatest Common Factor of 354,768,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,768,678 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 354,768,678 . The biggest common factor number is the GCF number.
So the greatest common factor 354,768,678 is 6.


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 65/354, 231/768, 544/678

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 65/354, 231/768, 544/678?

Answer: LCM of Numerators as per given numbers 65/354, 231/768, 544/678 is

LCM of Numerators i.e. for 65,231,544 is 8168160

GCF of denominators i.e. for 354,768,678 is 6.

Thus, LCM of Fractions is 1361360.Finally, LCM of Fractions for 65/354, 231/768, 544/678 is 1361360.