Least Common Multiple of 3282/318, 4200/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3282/318, 4200/474 quickly i.e. 382900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3282/318, 4200/474 is 382900.

LCM(3282/318, 4200/474) = 382900

LCM of 3282/318, 4200/474

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 3282/318,4200/474

Given numbers are 3282/318,4200/474

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 3282,4200

Least Common Multiple of Numerators i.e. LCM of 3282,4200 is 2297400.

GCF of Denominators means GCF of 318,474 as per the given fractions.

GCF of 318,474 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3282,4200

LCM of Fractions 3282/318,4200/474 is 382900

2 3282, 4200
3 1641, 2100
547, 700

∴ So the LCM of the given numbers is 2 x 3 x 547 x 700 = 2297400

Least Common Multiple of 3282,4200 with GCF Formula

Least Common Multiple of 3282,4200 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 3282,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3282,4200) = 6

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

GCF(3282,4200) x common factors =6 x 1 = 6

LCM(3282,4200) = ( 3282 × 4200 ) / 6

LCM(3282,4200) = 13784400 / 6

LCM(3282,4200) = 2297400


Lets's calculate GCF of 318,474

2 318, 474
3 159, 237
53, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2297400/6

Therefore the LCM of Fractions 3282/318,4200/474 is 382900

Greatest Common Factor of 318,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,474 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 318,474 . The biggest common factor number is the GCF number.
So the greatest common factor 318,474 is 6.


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 3282/318, 4200/474

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 3282/318, 4200/474?

Answer: LCM of Numerators as per given numbers 3282/318, 4200/474 is

LCM of Numerators i.e. for 3282,4200 is 2297400

GCF of denominators i.e. for 318,474 is 6.

Thus, LCM of Fractions is 382900.Finally, LCM of Fractions for 3282/318, 4200/474 is 382900.