Least Common Multiple of 7508/446, 7360/1817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7508/446, 7360/1817 quickly i.e. 13814720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7508/446, 7360/1817 is 13814720.

LCM(7508/446, 7360/1817) = 13814720

LCM of 7508/446, 7360/1817

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 7508/446,7360/1817

Given numbers are 7508/446,7360/1817

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 7508,7360

Least Common Multiple of Numerators i.e. LCM of 7508,7360 is 13814720.

GCF of Denominators means GCF of 446,1817 as per the given fractions.

GCF of 446,1817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7508,7360

LCM of Fractions 7508/446,7360/1817 is 13814720

2 7508, 7360
2 3754, 3680
1877, 1840

∴ So the LCM of the given numbers is 2 x 2 x 1877 x 1840 = 13814720

Least Common Multiple of 7508,7360 with GCF Formula

Least Common Multiple of 7508,7360 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 7508,7360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7508,7360) = 4

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

GCF(7508,7360) x common factors =4 x 1 = 4

LCM(7508,7360) = ( 7508 × 7360 ) / 4

LCM(7508,7360) = 55258880 / 4

LCM(7508,7360) = 13814720


Lets's calculate GCF of 446,1817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13814720/1

Therefore the LCM of Fractions 7508/446,7360/1817 is 13814720

Greatest Common Factor of 446,1817 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,1817 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 1817

List of positive integer factors of 1817 that divides 1817 without a remainder.

1,23,79,1817

Greatest Common Factor

We found the factors 446,1817 . The biggest common factor number is the GCF number.
So the greatest common factor 446,1817 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 7508/446, 7360/1817

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 7508/446, 7360/1817?

Answer: LCM of Numerators as per given numbers 7508/446, 7360/1817 is

LCM of Numerators i.e. for 7508,7360 is 13814720

GCF of denominators i.e. for 446,1817 is 1.

Thus, LCM of Fractions is 13814720.Finally, LCM of Fractions for 7508/446, 7360/1817 is 13814720.