Least Common Multiple of 437/677, 2323/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 437/677, 2323/996 quickly i.e. 44137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/677, 2323/996 is 44137.

LCM(437/677, 2323/996) = 44137

LCM of 437/677, 2323/996

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 437/677,2323/996

Given numbers are 437/677,2323/996

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 437,2323

Least Common Multiple of Numerators i.e. LCM of 437,2323 is 44137.

GCF of Denominators means GCF of 677,996 as per the given fractions.

GCF of 677,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,2323

LCM of Fractions 437/677,2323/996 is 44137

23 437, 2323
19, 101

∴ So the LCM of the given numbers is 23 x 19 x 101 = 44137

Least Common Multiple of 437,2323 with GCF Formula

Least Common Multiple of 437,2323 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 437,2323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,2323) = 23

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

GCF(437,2323) x common factors =23 x 1 = 23

LCM(437,2323) = ( 437 × 2323 ) / 23

LCM(437,2323) = 1015151 / 23

LCM(437,2323) = 44137


Lets's calculate GCF of 677,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44137/1

Therefore the LCM of Fractions 437/677,2323/996 is 44137

Greatest Common Factor of 677,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,996 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 677,996 . The biggest common factor number is the GCF number.
So the greatest common factor 677,996 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 437/677, 2323/996

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 437/677, 2323/996?

Answer: LCM of Numerators as per given numbers 437/677, 2323/996 is

LCM of Numerators i.e. for 437,2323 is 44137

GCF of denominators i.e. for 677,996 is 1.

Thus, LCM of Fractions is 44137.Finally, LCM of Fractions for 437/677, 2323/996 is 44137.