Least Common Multiple of 864/47, 784/2961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/47, 784/2961 quickly i.e. 42336/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/47, 784/2961 is 42336/47.

LCM(864/47, 784/2961) = 42336/47

LCM of 864/47, 784/2961

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 864/47,784/2961

Given numbers are 864/47,784/2961

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 864,784

Least Common Multiple of Numerators i.e. LCM of 864,784 is 42336.

GCF of Denominators means GCF of 47,2961 as per the given fractions.

GCF of 47,2961 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,784

LCM of Fractions 864/47,784/2961 is 42336/47

2 864, 784
2 432, 392
2 216, 196
2 108, 98
54, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 54 x 49 = 42336

Least Common Multiple of 864,784 with GCF Formula

Least Common Multiple of 864,784 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 864,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,784) = 16

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

GCF(864,784) x common factors =16 x 1 = 16

LCM(864,784) = ( 864 × 784 ) / 16

LCM(864,784) = 677376 / 16

LCM(864,784) = 42336


Lets's calculate GCF of 47,2961

47 47, 2961
1, 63

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42336/47

Therefore the LCM of Fractions 864/47,784/2961 is 42336/47

Greatest Common Factor of 47,2961 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,2961 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 2961

List of positive integer factors of 2961 that divides 2961 without a remainder.

1,3,7,9,21,47,63,141,329,423,987,2961

Greatest Common Factor

We found the factors 47,2961 . The biggest common factor number is the GCF number.
So the greatest common factor 47,2961 is 47.


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 864/47, 784/2961

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 864/47, 784/2961?

Answer: LCM of Numerators as per given numbers 864/47, 784/2961 is

LCM of Numerators i.e. for 864,784 is 42336

GCF of denominators i.e. for 47,2961 is 47.

Thus, LCM of Fractions is 42336/47.Finally, LCM of Fractions for 864/47, 784/2961 is 42336/47.