Least Common Multiple of 73/428, 88/160, 759/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/428, 88/160, 759/678 quickly i.e. 221628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/428, 88/160, 759/678 is 221628.

LCM(73/428, 88/160, 759/678) = 221628

LCM of 73/428, 88/160, 759/678

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 73/428,88/160,759/678

Given numbers are 73/428,88/160,759/678

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 73,88,759

Least Common Multiple of Numerators i.e. LCM of 73,88,759 is 443256.

GCF of Denominators means GCF of 428,160,678 as per the given fractions.

GCF of 428,160,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,88,759

LCM of Fractions 73/428,88/160,759/678 is 221628

11 73, 88, 759
73, 8, 69

∴ So the LCM of the given numbers is 11 x 73 x 8 x 69 = 443256

Least Common Multiple of 73,88,759 with GCF Formula

Least Common Multiple of 73,88,759 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 73,88,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,88,759) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(73,88,759) x common factors =1 x 11 = 11

LCM(73,88,759) = ( 73 × 88 × 759 ) / 11

LCM(73,88,759) = 4875816 / 11

LCM(73,88,759) = 443256


Lets's calculate GCF of 428,160,678

2 428, 160, 678
214, 80, 339

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443256/2

Therefore the LCM of Fractions 73/428,88/160,759/678 is 221628

Greatest Common Factor of 428,160,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,160,678 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

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 428,160,678 . The biggest common factor number is the GCF number.
So the greatest common factor 428,160,678 is 2.


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 73/428, 88/160, 759/678

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 73/428, 88/160, 759/678?

Answer: LCM of Numerators as per given numbers 73/428, 88/160, 759/678 is

LCM of Numerators i.e. for 73,88,759 is 443256

GCF of denominators i.e. for 428,160,678 is 2.

Thus, LCM of Fractions is 221628.Finally, LCM of Fractions for 73/428, 88/160, 759/678 is 221628.