Least Common Multiple of 4606/827, 7460/9287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4606/827, 7460/9287 quickly i.e. 17180380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4606/827, 7460/9287 is 17180380.

LCM(4606/827, 7460/9287) = 17180380

LCM of 4606/827, 7460/9287

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 4606/827,7460/9287

Given numbers are 4606/827,7460/9287

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 4606,7460

Least Common Multiple of Numerators i.e. LCM of 4606,7460 is 17180380.

GCF of Denominators means GCF of 827,9287 as per the given fractions.

GCF of 827,9287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4606,7460

LCM of Fractions 4606/827,7460/9287 is 17180380

2 4606, 7460
2303, 3730

∴ So the LCM of the given numbers is 2 x 2303 x 3730 = 17180380

Least Common Multiple of 4606,7460 with GCF Formula

Least Common Multiple of 4606,7460 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 4606,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4606,7460) = 2

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

GCF(4606,7460) x common factors =2 x 1 = 2

LCM(4606,7460) = ( 4606 × 7460 ) / 2

LCM(4606,7460) = 34360760 / 2

LCM(4606,7460) = 17180380


Lets's calculate GCF of 827,9287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17180380/1

Therefore the LCM of Fractions 4606/827,7460/9287 is 17180380

Greatest Common Factor of 827,9287 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,9287 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 9287

List of positive integer factors of 9287 that divides 9287 without a remainder.

1,37,251,9287

Greatest Common Factor

We found the factors 827,9287 . The biggest common factor number is the GCF number.
So the greatest common factor 827,9287 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 4606/827, 7460/9287

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 4606/827, 7460/9287?

Answer: LCM of Numerators as per given numbers 4606/827, 7460/9287 is

LCM of Numerators i.e. for 4606,7460 is 17180380

GCF of denominators i.e. for 827,9287 is 1.

Thus, LCM of Fractions is 17180380.Finally, LCM of Fractions for 4606/827, 7460/9287 is 17180380.