Least Common Multiple of 55/944, 34/675, 446/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/944, 34/675, 446/480 quickly i.e. 417010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/944, 34/675, 446/480 is 417010.

LCM(55/944, 34/675, 446/480) = 417010

LCM of 55/944, 34/675, 446/480

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 55/944,34/675,446/480

Given numbers are 55/944,34/675,446/480

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 55,34,446

Least Common Multiple of Numerators i.e. LCM of 55,34,446 is 417010.

GCF of Denominators means GCF of 944,675,480 as per the given fractions.

GCF of 944,675,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,34,446

LCM of Fractions 55/944,34/675,446/480 is 417010

2 55, 34, 446
55, 17, 223

∴ So the LCM of the given numbers is 2 x 55 x 17 x 223 = 417010

Least Common Multiple of 55,34,446 with GCF Formula

Least Common Multiple of 55,34,446 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 55,34,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,34,446) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,34,446) x common factors =1 x 2 = 2

LCM(55,34,446) = ( 55 × 34 × 446 ) / 2

LCM(55,34,446) = 834020 / 2

LCM(55,34,446) = 417010


Lets's calculate GCF of 944,675,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417010/1

Therefore the LCM of Fractions 55/944,34/675,446/480 is 417010

Greatest Common Factor of 944,675,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,675,480 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 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 944,675,480 . The biggest common factor number is the GCF number.
So the greatest common factor 944,675,480 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 55/944, 34/675, 446/480

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 55/944, 34/675, 446/480?

Answer: LCM of Numerators as per given numbers 55/944, 34/675, 446/480 is

LCM of Numerators i.e. for 55,34,446 is 417010

GCF of denominators i.e. for 944,675,480 is 1.

Thus, LCM of Fractions is 417010.Finally, LCM of Fractions for 55/944, 34/675, 446/480 is 417010.