Least Common Multiple of 10/360, 44/434, 564/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/360, 44/434, 564/865 quickly i.e. 31020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/360, 44/434, 564/865 is 31020.

LCM(10/360, 44/434, 564/865) = 31020

LCM of 10/360, 44/434, 564/865

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 10/360,44/434,564/865

Given numbers are 10/360,44/434,564/865

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 10,44,564

Least Common Multiple of Numerators i.e. LCM of 10,44,564 is 31020.

GCF of Denominators means GCF of 360,434,865 as per the given fractions.

GCF of 360,434,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,44,564

LCM of Fractions 10/360,44/434,564/865 is 31020

2 10, 44, 564
2 5, 22, 282
5, 11, 141

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 141 = 31020

Least Common Multiple of 10,44,564 with GCF Formula

Least Common Multiple of 10,44,564 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 10,44,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,44,564) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(10,44,564) x common factors =2 x 4 = 8

LCM(10,44,564) = ( 10 × 44 × 564 ) / 8

LCM(10,44,564) = 248160 / 8

LCM(10,44,564) = 31020


Lets's calculate GCF of 360,434,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31020/1

Therefore the LCM of Fractions 10/360,44/434,564/865 is 31020

Greatest Common Factor of 360,434,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,434,865 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 360,434,865 . The biggest common factor number is the GCF number.
So the greatest common factor 360,434,865 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 10/360, 44/434, 564/865

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 10/360, 44/434, 564/865?

Answer: LCM of Numerators as per given numbers 10/360, 44/434, 564/865 is

LCM of Numerators i.e. for 10,44,564 is 31020

GCF of denominators i.e. for 360,434,865 is 1.

Thus, LCM of Fractions is 31020.Finally, LCM of Fractions for 10/360, 44/434, 564/865 is 31020.