Least Common Multiple of 684/644, 4367/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/644, 4367/488 quickly i.e. 746757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/644, 4367/488 is 746757.

LCM(684/644, 4367/488) = 746757

LCM of 684/644, 4367/488

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 684/644,4367/488

Given numbers are 684/644,4367/488

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 684,4367

Least Common Multiple of Numerators i.e. LCM of 684,4367 is 2987028.

GCF of Denominators means GCF of 644,488 as per the given fractions.

GCF of 644,488 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,4367

LCM of Fractions 684/644,4367/488 is 746757

Given numbers has no common factors except 1. So, there LCM is their product i.e 2987028

Least Common Multiple of 684,4367 with GCF Formula

Least Common Multiple of 684,4367 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 684,4367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,4367) = 1

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

GCF(684,4367) x common factors =1 x 1 = 1

LCM(684,4367) = ( 684 × 4367 ) / 1

LCM(684,4367) = 2987028 / 1

LCM(684,4367) = 2987028


Lets's calculate GCF of 644,488

2 644, 488
2 322, 244
161, 122

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2987028/4

Therefore the LCM of Fractions 684/644,4367/488 is 746757

Greatest Common Factor of 644,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,488 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 644,488 . The biggest common factor number is the GCF number.
So the greatest common factor 644,488 is 4.


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 684/644, 4367/488

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 684/644, 4367/488?

Answer: LCM of Numerators as per given numbers 684/644, 4367/488 is

LCM of Numerators i.e. for 684,4367 is 2987028

GCF of denominators i.e. for 644,488 is 4.

Thus, LCM of Fractions is 746757.Finally, LCM of Fractions for 684/644, 4367/488 is 746757.