Least Common Multiple of 45/787, 14/361, 599/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/787, 14/361, 599/482 quickly i.e. 377370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/787, 14/361, 599/482 is 377370.

LCM(45/787, 14/361, 599/482) = 377370

LCM of 45/787, 14/361, 599/482

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 45/787,14/361,599/482

Given numbers are 45/787,14/361,599/482

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 45,14,599

Least Common Multiple of Numerators i.e. LCM of 45,14,599 is 377370.

GCF of Denominators means GCF of 787,361,482 as per the given fractions.

GCF of 787,361,482 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,14,599

LCM of Fractions 45/787,14/361,599/482 is 377370

Given numbers has no common factors except 1. So, there LCM is their product i.e 377370

Least Common Multiple of 45,14,599 with GCF Formula

Least Common Multiple of 45,14,599 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 45,14,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,599) = 1

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

GCF(45,14,599) x common factors =1 x 1 = 1

LCM(45,14,599) = ( 45 × 14 × 599 ) / 1

LCM(45,14,599) = 377370 / 1

LCM(45,14,599) = 377370


Lets's calculate GCF of 787,361,482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377370/1

Therefore the LCM of Fractions 45/787,14/361,599/482 is 377370

Greatest Common Factor of 787,361,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,361,482 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 361

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

1,19,361

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 787,361,482 . The biggest common factor number is the GCF number.
So the greatest common factor 787,361,482 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 45/787, 14/361, 599/482

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 45/787, 14/361, 599/482?

Answer: LCM of Numerators as per given numbers 45/787, 14/361, 599/482 is

LCM of Numerators i.e. for 45,14,599 is 377370

GCF of denominators i.e. for 787,361,482 is 1.

Thus, LCM of Fractions is 377370.Finally, LCM of Fractions for 45/787, 14/361, 599/482 is 377370.