Least Common Multiple of 15/90, 362/34, 569/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/90, 362/34, 569/842 quickly i.e. 1544835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/90, 362/34, 569/842 is 1544835.

LCM(15/90, 362/34, 569/842) = 1544835

LCM of 15/90, 362/34, 569/842

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 15/90,362/34,569/842

Given numbers are 15/90,362/34,569/842

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 15,362,569

Least Common Multiple of Numerators i.e. LCM of 15,362,569 is 3089670.

GCF of Denominators means GCF of 90,34,842 as per the given fractions.

GCF of 90,34,842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,362,569

LCM of Fractions 15/90,362/34,569/842 is 1544835

Given numbers has no common factors except 1. So, there LCM is their product i.e 3089670

Least Common Multiple of 15,362,569 with GCF Formula

Least Common Multiple of 15,362,569 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 15,362,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,362,569) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(15,362,569) x common factors =1 x 1 = 1

LCM(15,362,569) = ( 15 × 362 × 569 ) / 1

LCM(15,362,569) = 3089670 / 1

LCM(15,362,569) = 3089670


Lets's calculate GCF of 90,34,842

2 90, 34, 842
45, 17, 421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3089670/2

Therefore the LCM of Fractions 15/90,362/34,569/842 is 1544835

Greatest Common Factor of 90,34,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,34,842 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 90,34,842 . The biggest common factor number is the GCF number.
So the greatest common factor 90,34,842 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 15/90, 362/34, 569/842

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 15/90, 362/34, 569/842?

Answer: LCM of Numerators as per given numbers 15/90, 362/34, 569/842 is

LCM of Numerators i.e. for 15,362,569 is 3089670

GCF of denominators i.e. for 90,34,842 is 2.

Thus, LCM of Fractions is 1544835.Finally, LCM of Fractions for 15/90, 362/34, 569/842 is 1544835.