Least Common Multiple of 328/16, 369/56, 425/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/16, 369/56, 425/560 quickly i.e. 156825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/16, 369/56, 425/560 is 156825.

LCM(328/16, 369/56, 425/560) = 156825

LCM of 328/16, 369/56, 425/560

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 328/16,369/56,425/560

Given numbers are 328/16,369/56,425/560

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 328,369,425

Least Common Multiple of Numerators i.e. LCM of 328,369,425 is 1254600.

GCF of Denominators means GCF of 16,56,560 as per the given fractions.

GCF of 16,56,560 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,369,425

LCM of Fractions 328/16,369/56,425/560 is 156825

41 328, 369, 425
8, 9, 425

∴ So the LCM of the given numbers is 41 x 8 x 9 x 425 = 1254600

Least Common Multiple of 328,369,425 with GCF Formula

Least Common Multiple of 328,369,425 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 328,369,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,369,425) = 1

common factors(in case of two or more numbers have common factors) = 41

GCF(328,369,425) x common factors =1 x 41 = 41

LCM(328,369,425) = ( 328 × 369 × 425 ) / 41

LCM(328,369,425) = 51438600 / 41

LCM(328,369,425) = 1254600


Lets's calculate GCF of 16,56,560

2 16, 56, 560
2 8, 28, 280
2 4, 14, 140
2, 7, 70

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254600/8

Therefore the LCM of Fractions 328/16,369/56,425/560 is 156825

Greatest Common Factor of 16,56,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,56,560 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 16,56,560 . The biggest common factor number is the GCF number.
So the greatest common factor 16,56,560 is 8.


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 328/16, 369/56, 425/560

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 328/16, 369/56, 425/560?

Answer: LCM of Numerators as per given numbers 328/16, 369/56, 425/560 is

LCM of Numerators i.e. for 328,369,425 is 1254600

GCF of denominators i.e. for 16,56,560 is 8.

Thus, LCM of Fractions is 156825.Finally, LCM of Fractions for 328/16, 369/56, 425/560 is 156825.