Least Common Multiple of 372/582, 1674/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 372/582, 1674/208 quickly i.e. 1674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/582, 1674/208 is 1674.

LCM(372/582, 1674/208) = 1674

LCM of 372/582, 1674/208

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 372/582,1674/208

Given numbers are 372/582,1674/208

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 372,1674

Least Common Multiple of Numerators i.e. LCM of 372,1674 is 3348.

GCF of Denominators means GCF of 582,208 as per the given fractions.

GCF of 582,208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,1674

LCM of Fractions 372/582,1674/208 is 1674

2 372, 1674
3 186, 837
31 62, 279
2, 9

∴ So the LCM of the given numbers is 2 x 3 x 31 x 2 x 9 = 3348

Least Common Multiple of 372,1674 with GCF Formula

Least Common Multiple of 372,1674 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 372,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,1674) = 186

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

GCF(372,1674) x common factors =186 x 1 = 186

LCM(372,1674) = ( 372 × 1674 ) / 186

LCM(372,1674) = 622728 / 186

LCM(372,1674) = 3348


Lets's calculate GCF of 582,208

2 582, 208
291, 104

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3348/2

Therefore the LCM of Fractions 372/582,1674/208 is 1674

Greatest Common Factor of 582,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,208 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 582,208 . The biggest common factor number is the GCF number.
So the greatest common factor 582,208 is 2.


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 372/582, 1674/208

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 372/582, 1674/208?

Answer: LCM of Numerators as per given numbers 372/582, 1674/208 is

LCM of Numerators i.e. for 372,1674 is 3348

GCF of denominators i.e. for 582,208 is 2.

Thus, LCM of Fractions is 1674.Finally, LCM of Fractions for 372/582, 1674/208 is 1674.