Least Common Multiple of 472/452, 1684/3685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/452, 1684/3685 quickly i.e. 198712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/452, 1684/3685 is 198712.

LCM(472/452, 1684/3685) = 198712

LCM of 472/452, 1684/3685

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 472/452,1684/3685

Given numbers are 472/452,1684/3685

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 472,1684

Least Common Multiple of Numerators i.e. LCM of 472,1684 is 198712.

GCF of Denominators means GCF of 452,3685 as per the given fractions.

GCF of 452,3685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,1684

LCM of Fractions 472/452,1684/3685 is 198712

2 472, 1684
2 236, 842
118, 421

∴ So the LCM of the given numbers is 2 x 2 x 118 x 421 = 198712

Least Common Multiple of 472,1684 with GCF Formula

Least Common Multiple of 472,1684 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 472,1684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,1684) = 4

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

GCF(472,1684) x common factors =4 x 1 = 4

LCM(472,1684) = ( 472 × 1684 ) / 4

LCM(472,1684) = 794848 / 4

LCM(472,1684) = 198712


Lets's calculate GCF of 452,3685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198712/1

Therefore the LCM of Fractions 472/452,1684/3685 is 198712

Greatest Common Factor of 452,3685 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,3685 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1,5,11,55,67,335,737,3685

Greatest Common Factor

We found the factors 452,3685 . The biggest common factor number is the GCF number.
So the greatest common factor 452,3685 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 472/452, 1684/3685

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 472/452, 1684/3685?

Answer: LCM of Numerators as per given numbers 472/452, 1684/3685 is

LCM of Numerators i.e. for 472,1684 is 198712

GCF of denominators i.e. for 452,3685 is 1.

Thus, LCM of Fractions is 198712.Finally, LCM of Fractions for 472/452, 1684/3685 is 198712.