Least Common Multiple of 466/164, 7014/8643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/164, 7014/8643 quickly i.e. 1634262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/164, 7014/8643 is 1634262.

LCM(466/164, 7014/8643) = 1634262

LCM of 466/164, 7014/8643

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 466/164,7014/8643

Given numbers are 466/164,7014/8643

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 466,7014

Least Common Multiple of Numerators i.e. LCM of 466,7014 is 1634262.

GCF of Denominators means GCF of 164,8643 as per the given fractions.

GCF of 164,8643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,7014

LCM of Fractions 466/164,7014/8643 is 1634262

2 466, 7014
233, 3507

∴ So the LCM of the given numbers is 2 x 233 x 3507 = 1634262

Least Common Multiple of 466,7014 with GCF Formula

Least Common Multiple of 466,7014 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 466,7014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,7014) = 2

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

GCF(466,7014) x common factors =2 x 1 = 2

LCM(466,7014) = ( 466 × 7014 ) / 2

LCM(466,7014) = 3268524 / 2

LCM(466,7014) = 1634262


Lets's calculate GCF of 164,8643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1634262/1

Therefore the LCM of Fractions 466/164,7014/8643 is 1634262

Greatest Common Factor of 164,8643 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,8643 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 8643

List of positive integer factors of 8643 that divides 8643 without a remainder.

1,3,43,67,129,201,2881,8643

Greatest Common Factor

We found the factors 164,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 164,8643 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 466/164, 7014/8643

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 466/164, 7014/8643?

Answer: LCM of Numerators as per given numbers 466/164, 7014/8643 is

LCM of Numerators i.e. for 466,7014 is 1634262

GCF of denominators i.e. for 164,8643 is 1.

Thus, LCM of Fractions is 1634262.Finally, LCM of Fractions for 466/164, 7014/8643 is 1634262.