Least Common Multiple of 1677/944, 3221/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1677/944, 3221/800 quickly i.e. 5401617/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1677/944, 3221/800 is 5401617/16.

LCM(1677/944, 3221/800) = 5401617/16

LCM of 1677/944, 3221/800

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 1677/944,3221/800

Given numbers are 1677/944,3221/800

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 1677,3221

Least Common Multiple of Numerators i.e. LCM of 1677,3221 is 5401617.

GCF of Denominators means GCF of 944,800 as per the given fractions.

GCF of 944,800 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1677,3221

LCM of Fractions 1677/944,3221/800 is 5401617/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 5401617

Least Common Multiple of 1677,3221 with GCF Formula

Least Common Multiple of 1677,3221 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 1677,3221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1677,3221) = 1

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

GCF(1677,3221) x common factors =1 x 1 = 1

LCM(1677,3221) = ( 1677 × 3221 ) / 1

LCM(1677,3221) = 5401617 / 1

LCM(1677,3221) = 5401617


Lets's calculate GCF of 944,800

2 944, 800
2 472, 400
2 236, 200
2 118, 100
59, 50

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5401617/16

Therefore the LCM of Fractions 1677/944,3221/800 is 5401617/16

Greatest Common Factor of 944,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,800 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 944,800 . The biggest common factor number is the GCF number.
So the greatest common factor 944,800 is 16.


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 1677/944, 3221/800

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 1677/944, 3221/800?

Answer: LCM of Numerators as per given numbers 1677/944, 3221/800 is

LCM of Numerators i.e. for 1677,3221 is 5401617

GCF of denominators i.e. for 944,800 is 16.

Thus, LCM of Fractions is 5401617/16.Finally, LCM of Fractions for 1677/944, 3221/800 is 5401617/16.