Least Common Multiple of 78/67, 328/43, 369/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/67, 328/43, 369/832 quickly i.e. 38376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/67, 328/43, 369/832 is 38376.

LCM(78/67, 328/43, 369/832) = 38376

LCM of 78/67, 328/43, 369/832

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 78/67,328/43,369/832

Given numbers are 78/67,328/43,369/832

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 78,328,369

Least Common Multiple of Numerators i.e. LCM of 78,328,369 is 38376.

GCF of Denominators means GCF of 67,43,832 as per the given fractions.

GCF of 67,43,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,328,369

LCM of Fractions 78/67,328/43,369/832 is 38376

2 78, 328, 369
3 39, 164, 369
41 13, 164, 123
13, 4, 3

∴ So the LCM of the given numbers is 2 x 3 x 41 x 13 x 4 x 3 = 38376

Least Common Multiple of 78,328,369 with GCF Formula

Least Common Multiple of 78,328,369 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 78,328,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,328,369) = 1

common factors(in case of two or more numbers have common factors) = 246

GCF(78,328,369) x common factors =1 x 246 = 246

LCM(78,328,369) = ( 78 × 328 × 369 ) / 246

LCM(78,328,369) = 9440496 / 246

LCM(78,328,369) = 38376


Lets's calculate GCF of 67,43,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38376/1

Therefore the LCM of Fractions 78/67,328/43,369/832 is 38376

Greatest Common Factor of 67,43,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,43,832 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 67,43,832 . The biggest common factor number is the GCF number.
So the greatest common factor 67,43,832 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 78/67, 328/43, 369/832

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 78/67, 328/43, 369/832?

Answer: LCM of Numerators as per given numbers 78/67, 328/43, 369/832 is

LCM of Numerators i.e. for 78,328,369 is 38376

GCF of denominators i.e. for 67,43,832 is 1.

Thus, LCM of Fractions is 38376.Finally, LCM of Fractions for 78/67, 328/43, 369/832 is 38376.