Least Common Multiple of 1585/165, 5848/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1585/165, 5848/690 quickly i.e. 9269080/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1585/165, 5848/690 is 9269080/15.

LCM(1585/165, 5848/690) = 9269080/15

LCM of 1585/165, 5848/690

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 1585/165,5848/690

Given numbers are 1585/165,5848/690

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 1585,5848

Least Common Multiple of Numerators i.e. LCM of 1585,5848 is 9269080.

GCF of Denominators means GCF of 165,690 as per the given fractions.

GCF of 165,690 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1585,5848

LCM of Fractions 1585/165,5848/690 is 9269080/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 9269080

Least Common Multiple of 1585,5848 with GCF Formula

Least Common Multiple of 1585,5848 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 1585,5848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1585,5848) = 1

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

GCF(1585,5848) x common factors =1 x 1 = 1

LCM(1585,5848) = ( 1585 × 5848 ) / 1

LCM(1585,5848) = 9269080 / 1

LCM(1585,5848) = 9269080


Lets's calculate GCF of 165,690

3 165, 690
5 55, 230
11, 46

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9269080/15

Therefore the LCM of Fractions 1585/165,5848/690 is 9269080/15

Greatest Common Factor of 165,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,690 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 165,690 . The biggest common factor number is the GCF number.
So the greatest common factor 165,690 is 15.


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 1585/165, 5848/690

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 1585/165, 5848/690?

Answer: LCM of Numerators as per given numbers 1585/165, 5848/690 is

LCM of Numerators i.e. for 1585,5848 is 9269080

GCF of denominators i.e. for 165,690 is 15.

Thus, LCM of Fractions is 9269080/15.Finally, LCM of Fractions for 1585/165, 5848/690 is 9269080/15.