Least Common Multiple of 245/42, 684/3644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 245/42, 684/3644 quickly i.e. 83790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 245/42, 684/3644 is 83790.

LCM(245/42, 684/3644) = 83790

LCM of 245/42, 684/3644

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 245/42,684/3644

Given numbers are 245/42,684/3644

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 245,684

Least Common Multiple of Numerators i.e. LCM of 245,684 is 167580.

GCF of Denominators means GCF of 42,3644 as per the given fractions.

GCF of 42,3644 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 245,684

LCM of Fractions 245/42,684/3644 is 83790

Given numbers has no common factors except 1. So, there LCM is their product i.e 167580

Least Common Multiple of 245,684 with GCF Formula

Least Common Multiple of 245,684 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 245,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,684) = 1

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

GCF(245,684) x common factors =1 x 1 = 1

LCM(245,684) = ( 245 × 684 ) / 1

LCM(245,684) = 167580 / 1

LCM(245,684) = 167580


Lets's calculate GCF of 42,3644

2 42, 3644
21, 1822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167580/2

Therefore the LCM of Fractions 245/42,684/3644 is 83790

Greatest Common Factor of 42,3644 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3644 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1,2,4,911,1822,3644

Greatest Common Factor

We found the factors 42,3644 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3644 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 245/42, 684/3644

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 245/42, 684/3644?

Answer: LCM of Numerators as per given numbers 245/42, 684/3644 is

LCM of Numerators i.e. for 245,684 is 167580

GCF of denominators i.e. for 42,3644 is 2.

Thus, LCM of Fractions is 83790.Finally, LCM of Fractions for 245/42, 684/3644 is 83790.