Least Common Multiple of 78/128, 672/336, 487/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/128, 672/336, 487/735 quickly i.e. 4254432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/128, 672/336, 487/735 is 4254432.

LCM(78/128, 672/336, 487/735) = 4254432

LCM of 78/128, 672/336, 487/735

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 78/128,672/336,487/735

Given numbers are 78/128,672/336,487/735

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 78,672,487

Least Common Multiple of Numerators i.e. LCM of 78,672,487 is 4254432.

GCF of Denominators means GCF of 128,336,735 as per the given fractions.

GCF of 128,336,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,672,487

LCM of Fractions 78/128,672/336,487/735 is 4254432

2 78, 672, 487
3 39, 336, 487
13, 112, 487

∴ So the LCM of the given numbers is 2 x 3 x 13 x 112 x 487 = 4254432

Least Common Multiple of 78,672,487 with GCF Formula

Least Common Multiple of 78,672,487 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 78,672,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,672,487) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,672,487) x common factors =1 x 6 = 6

LCM(78,672,487) = ( 78 × 672 × 487 ) / 6

LCM(78,672,487) = 25526592 / 6

LCM(78,672,487) = 4254432


Lets's calculate GCF of 128,336,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4254432/1

Therefore the LCM of Fractions 78/128,672/336,487/735 is 4254432

Greatest Common Factor of 128,336,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,336,735 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 128,336,735 . The biggest common factor number is the GCF number.
So the greatest common factor 128,336,735 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 78/128, 672/336, 487/735

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 78/128, 672/336, 487/735?

Answer: LCM of Numerators as per given numbers 78/128, 672/336, 487/735 is

LCM of Numerators i.e. for 78,672,487 is 4254432

GCF of denominators i.e. for 128,336,735 is 1.

Thus, LCM of Fractions is 4254432.Finally, LCM of Fractions for 78/128, 672/336, 487/735 is 4254432.