Least Common Multiple of 78/40, 740/10, 672/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/40, 740/10, 672/328 quickly i.e. 808080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/40, 740/10, 672/328 is 808080.

LCM(78/40, 740/10, 672/328) = 808080

LCM of 78/40, 740/10, 672/328

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 78/40,740/10,672/328

Given numbers are 78/40,740/10,672/328

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 78,740,672

Least Common Multiple of Numerators i.e. LCM of 78,740,672 is 1616160.

GCF of Denominators means GCF of 40,10,328 as per the given fractions.

GCF of 40,10,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,740,672

LCM of Fractions 78/40,740/10,672/328 is 808080

2 78, 740, 672
2 39, 370, 336
3 39, 185, 168
13, 185, 56

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 185 x 56 = 1616160

Least Common Multiple of 78,740,672 with GCF Formula

Least Common Multiple of 78,740,672 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 78,740,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,740,672) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(78,740,672) x common factors =2 x 12 = 24

LCM(78,740,672) = ( 78 × 740 × 672 ) / 24

LCM(78,740,672) = 38787840 / 24

LCM(78,740,672) = 1616160


Lets's calculate GCF of 40,10,328

2 40, 10, 328
20, 5, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1616160/2

Therefore the LCM of Fractions 78/40,740/10,672/328 is 808080

Greatest Common Factor of 40,10,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,10,328 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 40,10,328 . The biggest common factor number is the GCF number.
So the greatest common factor 40,10,328 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 78/40, 740/10, 672/328

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 78/40, 740/10, 672/328?

Answer: LCM of Numerators as per given numbers 78/40, 740/10, 672/328 is

LCM of Numerators i.e. for 78,740,672 is 1616160

GCF of denominators i.e. for 40,10,328 is 2.

Thus, LCM of Fractions is 808080.Finally, LCM of Fractions for 78/40, 740/10, 672/328 is 808080.