Least Common Multiple of 462/201, 6420/4971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/201, 6420/4971 quickly i.e. 164780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/201, 6420/4971 is 164780.

LCM(462/201, 6420/4971) = 164780

LCM of 462/201, 6420/4971

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 462/201,6420/4971

Given numbers are 462/201,6420/4971

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 462,6420

Least Common Multiple of Numerators i.e. LCM of 462,6420 is 494340.

GCF of Denominators means GCF of 201,4971 as per the given fractions.

GCF of 201,4971 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,6420

LCM of Fractions 462/201,6420/4971 is 164780

2 462, 6420
3 231, 3210
77, 1070

∴ So the LCM of the given numbers is 2 x 3 x 77 x 1070 = 494340

Least Common Multiple of 462,6420 with GCF Formula

Least Common Multiple of 462,6420 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 462,6420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,6420) = 6

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

GCF(462,6420) x common factors =6 x 1 = 6

LCM(462,6420) = ( 462 × 6420 ) / 6

LCM(462,6420) = 2966040 / 6

LCM(462,6420) = 494340


Lets's calculate GCF of 201,4971

3 201, 4971
67, 1657

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494340/3

Therefore the LCM of Fractions 462/201,6420/4971 is 164780

Greatest Common Factor of 201,4971 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,4971 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1,3,1657,4971

Greatest Common Factor

We found the factors 201,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 201,4971 is 3.


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 462/201, 6420/4971

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 462/201, 6420/4971?

Answer: LCM of Numerators as per given numbers 462/201, 6420/4971 is

LCM of Numerators i.e. for 462,6420 is 494340

GCF of denominators i.e. for 201,4971 is 3.

Thus, LCM of Fractions is 164780.Finally, LCM of Fractions for 462/201, 6420/4971 is 164780.