Least Common Multiple of 4778/361, 7180/8273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4778/361, 7180/8273 quickly i.e. 17153020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4778/361, 7180/8273 is 17153020.

LCM(4778/361, 7180/8273) = 17153020

LCM of 4778/361, 7180/8273

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 4778/361,7180/8273

Given numbers are 4778/361,7180/8273

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 4778,7180

Least Common Multiple of Numerators i.e. LCM of 4778,7180 is 17153020.

GCF of Denominators means GCF of 361,8273 as per the given fractions.

GCF of 361,8273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4778,7180

LCM of Fractions 4778/361,7180/8273 is 17153020

2 4778, 7180
2389, 3590

∴ So the LCM of the given numbers is 2 x 2389 x 3590 = 17153020

Least Common Multiple of 4778,7180 with GCF Formula

Least Common Multiple of 4778,7180 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 4778,7180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4778,7180) = 2

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

GCF(4778,7180) x common factors =2 x 1 = 2

LCM(4778,7180) = ( 4778 × 7180 ) / 2

LCM(4778,7180) = 34306040 / 2

LCM(4778,7180) = 17153020


Lets's calculate GCF of 361,8273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17153020/1

Therefore the LCM of Fractions 4778/361,7180/8273 is 17153020

Greatest Common Factor of 361,8273 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,8273 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

1,8273

Greatest Common Factor

We found the factors 361,8273 . The biggest common factor number is the GCF number.
So the greatest common factor 361,8273 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 4778/361, 7180/8273

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 4778/361, 7180/8273?

Answer: LCM of Numerators as per given numbers 4778/361, 7180/8273 is

LCM of Numerators i.e. for 4778,7180 is 17153020

GCF of denominators i.e. for 361,8273 is 1.

Thus, LCM of Fractions is 17153020.Finally, LCM of Fractions for 4778/361, 7180/8273 is 17153020.