Least Common Multiple of 17/70, 52/32, 585/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/70, 52/32, 585/766 quickly i.e. 19890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/70, 52/32, 585/766 is 19890.

LCM(17/70, 52/32, 585/766) = 19890

LCM of 17/70, 52/32, 585/766

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 17/70,52/32,585/766

Given numbers are 17/70,52/32,585/766

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 17,52,585

Least Common Multiple of Numerators i.e. LCM of 17,52,585 is 39780.

GCF of Denominators means GCF of 70,32,766 as per the given fractions.

GCF of 70,32,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,52,585

LCM of Fractions 17/70,52/32,585/766 is 19890

13 17, 52, 585
17, 4, 45

∴ So the LCM of the given numbers is 13 x 17 x 4 x 45 = 39780

Least Common Multiple of 17,52,585 with GCF Formula

Least Common Multiple of 17,52,585 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 17,52,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,52,585) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(17,52,585) x common factors =1 x 13 = 13

LCM(17,52,585) = ( 17 × 52 × 585 ) / 13

LCM(17,52,585) = 517140 / 13

LCM(17,52,585) = 39780


Lets's calculate GCF of 70,32,766

2 70, 32, 766
35, 16, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39780/2

Therefore the LCM of Fractions 17/70,52/32,585/766 is 19890

Greatest Common Factor of 70,32,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,32,766 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 32

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

1,2,4,8,16,32

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 70,32,766 . The biggest common factor number is the GCF number.
So the greatest common factor 70,32,766 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 17/70, 52/32, 585/766

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 17/70, 52/32, 585/766?

Answer: LCM of Numerators as per given numbers 17/70, 52/32, 585/766 is

LCM of Numerators i.e. for 17,52,585 is 39780

GCF of denominators i.e. for 70,32,766 is 2.

Thus, LCM of Fractions is 19890.Finally, LCM of Fractions for 17/70, 52/32, 585/766 is 19890.