Least Common Multiple of 4767/864, 6020/8976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4767/864, 6020/8976 quickly i.e. 4099620/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4767/864, 6020/8976 is 4099620/48.

LCM(4767/864, 6020/8976) = 4099620/48

LCM of 4767/864, 6020/8976

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 4767/864,6020/8976

Given numbers are 4767/864,6020/8976

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 4767,6020

Least Common Multiple of Numerators i.e. LCM of 4767,6020 is 4099620.

GCF of Denominators means GCF of 864,8976 as per the given fractions.

GCF of 864,8976 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4767,6020

LCM of Fractions 4767/864,6020/8976 is 4099620/48

7 4767, 6020
681, 860

∴ So the LCM of the given numbers is 7 x 681 x 860 = 4099620

Least Common Multiple of 4767,6020 with GCF Formula

Least Common Multiple of 4767,6020 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 4767,6020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4767,6020) = 7

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

GCF(4767,6020) x common factors =7 x 1 = 7

LCM(4767,6020) = ( 4767 × 6020 ) / 7

LCM(4767,6020) = 28697340 / 7

LCM(4767,6020) = 4099620


Lets's calculate GCF of 864,8976

2 864, 8976
2 432, 4488
2 216, 2244
2 108, 1122
3 54, 561
18, 187

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4099620/48

Therefore the LCM of Fractions 4767/864,6020/8976 is 4099620/48

Greatest Common Factor of 864,8976 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,8976 By Matching Biggest Common Factor Method

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

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Greatest Common Factor

We found the factors 864,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 864,8976 is 48.


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 4767/864, 6020/8976

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 4767/864, 6020/8976?

Answer: LCM of Numerators as per given numbers 4767/864, 6020/8976 is

LCM of Numerators i.e. for 4767,6020 is 4099620

GCF of denominators i.e. for 864,8976 is 48.

Thus, LCM of Fractions is 4099620/48.Finally, LCM of Fractions for 4767/864, 6020/8976 is 4099620/48.