Least Common Multiple of 514/120, 4671/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/120, 4671/864 quickly i.e. 2400894/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/120, 4671/864 is 2400894/24.

LCM(514/120, 4671/864) = 2400894/24

LCM of 514/120, 4671/864

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 514/120,4671/864

Given numbers are 514/120,4671/864

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 514,4671

Least Common Multiple of Numerators i.e. LCM of 514,4671 is 2400894.

GCF of Denominators means GCF of 120,864 as per the given fractions.

GCF of 120,864 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,4671

LCM of Fractions 514/120,4671/864 is 2400894/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 2400894

Least Common Multiple of 514,4671 with GCF Formula

Least Common Multiple of 514,4671 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 514,4671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,4671) = 1

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

GCF(514,4671) x common factors =1 x 1 = 1

LCM(514,4671) = ( 514 × 4671 ) / 1

LCM(514,4671) = 2400894 / 1

LCM(514,4671) = 2400894


Lets's calculate GCF of 120,864

2 120, 864
2 60, 432
2 30, 216
3 15, 108
5, 36

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2400894/24

Therefore the LCM of Fractions 514/120,4671/864 is 2400894/24

Greatest Common Factor of 120,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,864 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 120,864 . The biggest common factor number is the GCF number.
So the greatest common factor 120,864 is 24.


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 514/120, 4671/864

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 514/120, 4671/864?

Answer: LCM of Numerators as per given numbers 514/120, 4671/864 is

LCM of Numerators i.e. for 514,4671 is 2400894

GCF of denominators i.e. for 120,864 is 24.

Thus, LCM of Fractions is 2400894/24.Finally, LCM of Fractions for 514/120, 4671/864 is 2400894/24.