Least Common Multiple of 494/864, 7061/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/864, 7061/964 quickly i.e. 3488134/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/864, 7061/964 is 3488134/4.

LCM(494/864, 7061/964) = 3488134/4

LCM of 494/864, 7061/964

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 494/864,7061/964

Given numbers are 494/864,7061/964

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 494,7061

Least Common Multiple of Numerators i.e. LCM of 494,7061 is 3488134.

GCF of Denominators means GCF of 864,964 as per the given fractions.

GCF of 864,964 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,7061

LCM of Fractions 494/864,7061/964 is 3488134/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3488134

Least Common Multiple of 494,7061 with GCF Formula

Least Common Multiple of 494,7061 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 494,7061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,7061) = 1

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

GCF(494,7061) x common factors =1 x 1 = 1

LCM(494,7061) = ( 494 × 7061 ) / 1

LCM(494,7061) = 3488134 / 1

LCM(494,7061) = 3488134


Lets's calculate GCF of 864,964

2 864, 964
2 432, 482
216, 241

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3488134/4

Therefore the LCM of Fractions 494/864,7061/964 is 3488134/4

Greatest Common Factor of 864,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,964 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 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 864,964 . The biggest common factor number is the GCF number.
So the greatest common factor 864,964 is 4.


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 494/864, 7061/964

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 494/864, 7061/964?

Answer: LCM of Numerators as per given numbers 494/864, 7061/964 is

LCM of Numerators i.e. for 494,7061 is 3488134

GCF of denominators i.e. for 864,964 is 4.

Thus, LCM of Fractions is 3488134/4.Finally, LCM of Fractions for 494/864, 7061/964 is 3488134/4.