Least Common Multiple of 328/56, 392/65, 820/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/56, 392/65, 820/32 quickly i.e. 80360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/56, 392/65, 820/32 is 80360.

LCM(328/56, 392/65, 820/32) = 80360

LCM of 328/56, 392/65, 820/32

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 328/56,392/65,820/32

Given numbers are 328/56,392/65,820/32

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 328,392,820

Least Common Multiple of Numerators i.e. LCM of 328,392,820 is 80360.

GCF of Denominators means GCF of 56,65,32 as per the given fractions.

GCF of 56,65,32 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,392,820

LCM of Fractions 328/56,392/65,820/32 is 80360

2 328, 392, 820
2 164, 196, 410
2 82, 98, 205
41 41, 49, 205
1, 49, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 1 x 49 x 5 = 80360

Least Common Multiple of 328,392,820 with GCF Formula

Least Common Multiple of 328,392,820 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 328,392,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,392,820) = 4

common factors(in case of two or more numbers have common factors) = 328

GCF(328,392,820) x common factors =4 x 328 = 1312

LCM(328,392,820) = ( 328 × 392 × 820 ) / 1312

LCM(328,392,820) = 105432320 / 1312

LCM(328,392,820) = 80360


Lets's calculate GCF of 56,65,32

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80360/1

Therefore the LCM of Fractions 328/56,392/65,820/32 is 80360

Greatest Common Factor of 56,65,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,65,32 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 56,65,32 . The biggest common factor number is the GCF number.
So the greatest common factor 56,65,32 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 328/56, 392/65, 820/32

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 328/56, 392/65, 820/32?

Answer: LCM of Numerators as per given numbers 328/56, 392/65, 820/32 is

LCM of Numerators i.e. for 328,392,820 is 80360

GCF of denominators i.e. for 56,65,32 is 1.

Thus, LCM of Fractions is 80360.Finally, LCM of Fractions for 328/56, 392/65, 820/32 is 80360.