Least Common Multiple of 462/83, 474/2179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/83, 474/2179 quickly i.e. 36498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/83, 474/2179 is 36498.

LCM(462/83, 474/2179) = 36498

LCM of 462/83, 474/2179

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 462/83,474/2179

Given numbers are 462/83,474/2179

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 462,474

Least Common Multiple of Numerators i.e. LCM of 462,474 is 36498.

GCF of Denominators means GCF of 83,2179 as per the given fractions.

GCF of 83,2179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,474

LCM of Fractions 462/83,474/2179 is 36498

2 462, 474
3 231, 237
77, 79

∴ So the LCM of the given numbers is 2 x 3 x 77 x 79 = 36498

Least Common Multiple of 462,474 with GCF Formula

Least Common Multiple of 462,474 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 462,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,474) = 6

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

GCF(462,474) x common factors =6 x 1 = 6

LCM(462,474) = ( 462 × 474 ) / 6

LCM(462,474) = 218988 / 6

LCM(462,474) = 36498


Lets's calculate GCF of 83,2179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36498/1

Therefore the LCM of Fractions 462/83,474/2179 is 36498

Greatest Common Factor of 83,2179 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,2179 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 2179

List of positive integer factors of 2179 that divides 2179 without a remainder.

1,2179

Greatest Common Factor

We found the factors 83,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 83,2179 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 462/83, 474/2179

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 462/83, 474/2179?

Answer: LCM of Numerators as per given numbers 462/83, 474/2179 is

LCM of Numerators i.e. for 462,474 is 36498

GCF of denominators i.e. for 83,2179 is 1.

Thus, LCM of Fractions is 36498.Finally, LCM of Fractions for 462/83, 474/2179 is 36498.