Least Common Multiple of 44/480, 1745/7898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/480, 1745/7898 quickly i.e. 38390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/480, 1745/7898 is 38390.

LCM(44/480, 1745/7898) = 38390

LCM of 44/480, 1745/7898

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 44/480,1745/7898

Given numbers are 44/480,1745/7898

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 44,1745

Least Common Multiple of Numerators i.e. LCM of 44,1745 is 76780.

GCF of Denominators means GCF of 480,7898 as per the given fractions.

GCF of 480,7898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,1745

LCM of Fractions 44/480,1745/7898 is 38390

Given numbers has no common factors except 1. So, there LCM is their product i.e 76780

Least Common Multiple of 44,1745 with GCF Formula

Least Common Multiple of 44,1745 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 44,1745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,1745) = 1

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

GCF(44,1745) x common factors =1 x 1 = 1

LCM(44,1745) = ( 44 × 1745 ) / 1

LCM(44,1745) = 76780 / 1

LCM(44,1745) = 76780


Lets's calculate GCF of 480,7898

2 480, 7898
240, 3949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76780/2

Therefore the LCM of Fractions 44/480,1745/7898 is 38390

Greatest Common Factor of 480,7898 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,7898 By Matching Biggest Common Factor Method

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

Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1,2,11,22,359,718,3949,7898

Greatest Common Factor

We found the factors 480,7898 . The biggest common factor number is the GCF number.
So the greatest common factor 480,7898 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 44/480, 1745/7898

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 44/480, 1745/7898?

Answer: LCM of Numerators as per given numbers 44/480, 1745/7898 is

LCM of Numerators i.e. for 44,1745 is 76780

GCF of denominators i.e. for 480,7898 is 2.

Thus, LCM of Fractions is 38390.Finally, LCM of Fractions for 44/480, 1745/7898 is 38390.