Least Common Multiple of 810/945, 162/652, 573/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/945, 162/652, 573/684 quickly i.e. 154710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/945, 162/652, 573/684 is 154710.

LCM(810/945, 162/652, 573/684) = 154710

LCM of 810/945, 162/652, 573/684

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 810/945,162/652,573/684

Given numbers are 810/945,162/652,573/684

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 810,162,573

Least Common Multiple of Numerators i.e. LCM of 810,162,573 is 154710.

GCF of Denominators means GCF of 945,652,684 as per the given fractions.

GCF of 945,652,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,162,573

LCM of Fractions 810/945,162/652,573/684 is 154710

2 810, 162, 573
3 405, 81, 573
3 135, 27, 191
3 45, 9, 191
3 15, 3, 191
5, 1, 191

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 5 x 1 x 191 = 154710

Least Common Multiple of 810,162,573 with GCF Formula

Least Common Multiple of 810,162,573 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 810,162,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,162,573) = 3

common factors(in case of two or more numbers have common factors) = 162

GCF(810,162,573) x common factors =3 x 162 = 486

LCM(810,162,573) = ( 810 × 162 × 573 ) / 486

LCM(810,162,573) = 75189060 / 486

LCM(810,162,573) = 154710


Lets's calculate GCF of 945,652,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154710/1

Therefore the LCM of Fractions 810/945,162/652,573/684 is 154710

Greatest Common Factor of 945,652,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,652,684 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 945,652,684 . The biggest common factor number is the GCF number.
So the greatest common factor 945,652,684 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 810/945, 162/652, 573/684

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 810/945, 162/652, 573/684?

Answer: LCM of Numerators as per given numbers 810/945, 162/652, 573/684 is

LCM of Numerators i.e. for 810,162,573 is 154710

GCF of denominators i.e. for 945,652,684 is 1.

Thus, LCM of Fractions is 154710.Finally, LCM of Fractions for 810/945, 162/652, 573/684 is 154710.