Least Common Multiple of 689/92, 551/80, 585/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/92, 551/80, 585/145 quickly i.e. 17083755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/92, 551/80, 585/145 is 17083755.

LCM(689/92, 551/80, 585/145) = 17083755

LCM of 689/92, 551/80, 585/145

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 689/92,551/80,585/145

Given numbers are 689/92,551/80,585/145

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 689,551,585

Least Common Multiple of Numerators i.e. LCM of 689,551,585 is 17083755.

GCF of Denominators means GCF of 92,80,145 as per the given fractions.

GCF of 92,80,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,551,585

LCM of Fractions 689/92,551/80,585/145 is 17083755

13 689, 551, 585
53, 551, 45

∴ So the LCM of the given numbers is 13 x 53 x 551 x 45 = 17083755

Least Common Multiple of 689,551,585 with GCF Formula

Least Common Multiple of 689,551,585 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 689,551,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,551,585) = 1

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

GCF(689,551,585) x common factors =1 x 13 = 13

LCM(689,551,585) = ( 689 × 551 × 585 ) / 13

LCM(689,551,585) = 222088815 / 13

LCM(689,551,585) = 17083755


Lets's calculate GCF of 92,80,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17083755/1

Therefore the LCM of Fractions 689/92,551/80,585/145 is 17083755

Greatest Common Factor of 92,80,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,80,145 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 92,80,145 . The biggest common factor number is the GCF number.
So the greatest common factor 92,80,145 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 689/92, 551/80, 585/145

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 689/92, 551/80, 585/145?

Answer: LCM of Numerators as per given numbers 689/92, 551/80, 585/145 is

LCM of Numerators i.e. for 689,551,585 is 17083755

GCF of denominators i.e. for 92,80,145 is 1.

Thus, LCM of Fractions is 17083755.Finally, LCM of Fractions for 689/92, 551/80, 585/145 is 17083755.