Least Common Multiple of 15/355, 17/444, 642/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/355, 17/444, 642/528 quickly i.e. 54570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/355, 17/444, 642/528 is 54570.

LCM(15/355, 17/444, 642/528) = 54570

LCM of 15/355, 17/444, 642/528

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 15/355,17/444,642/528

Given numbers are 15/355,17/444,642/528

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 15,17,642

Least Common Multiple of Numerators i.e. LCM of 15,17,642 is 54570.

GCF of Denominators means GCF of 355,444,528 as per the given fractions.

GCF of 355,444,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,17,642

LCM of Fractions 15/355,17/444,642/528 is 54570

3 15, 17, 642
5, 17, 214

∴ So the LCM of the given numbers is 3 x 5 x 17 x 214 = 54570

Least Common Multiple of 15,17,642 with GCF Formula

Least Common Multiple of 15,17,642 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 15,17,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,17,642) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,17,642) x common factors =1 x 3 = 3

LCM(15,17,642) = ( 15 × 17 × 642 ) / 3

LCM(15,17,642) = 163710 / 3

LCM(15,17,642) = 54570


Lets's calculate GCF of 355,444,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54570/1

Therefore the LCM of Fractions 15/355,17/444,642/528 is 54570

Greatest Common Factor of 355,444,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,444,528 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 355,444,528 . The biggest common factor number is the GCF number.
So the greatest common factor 355,444,528 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 15/355, 17/444, 642/528

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 15/355, 17/444, 642/528?

Answer: LCM of Numerators as per given numbers 15/355, 17/444, 642/528 is

LCM of Numerators i.e. for 15,17,642 is 54570

GCF of denominators i.e. for 355,444,528 is 1.

Thus, LCM of Fractions is 54570.Finally, LCM of Fractions for 15/355, 17/444, 642/528 is 54570.