Least Common Multiple of 67/361, 5301/2783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/361, 5301/2783 quickly i.e. 355167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/361, 5301/2783 is 355167.

LCM(67/361, 5301/2783) = 355167

LCM of 67/361, 5301/2783

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 67/361,5301/2783

Given numbers are 67/361,5301/2783

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 67,5301

Least Common Multiple of Numerators i.e. LCM of 67,5301 is 355167.

GCF of Denominators means GCF of 361,2783 as per the given fractions.

GCF of 361,2783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,5301

LCM of Fractions 67/361,5301/2783 is 355167

Given numbers has no common factors except 1. So, there LCM is their product i.e 355167

Least Common Multiple of 67,5301 with GCF Formula

Least Common Multiple of 67,5301 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 67,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,5301) = 1

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

GCF(67,5301) x common factors =1 x 1 = 1

LCM(67,5301) = ( 67 × 5301 ) / 1

LCM(67,5301) = 355167 / 1

LCM(67,5301) = 355167


Lets's calculate GCF of 361,2783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355167/1

Therefore the LCM of Fractions 67/361,5301/2783 is 355167

Greatest Common Factor of 361,2783 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,2783 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 2783

List of positive integer factors of 2783 that divides 2783 without a remainder.

1,11,23,121,253,2783

Greatest Common Factor

We found the factors 361,2783 . The biggest common factor number is the GCF number.
So the greatest common factor 361,2783 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 67/361, 5301/2783

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 67/361, 5301/2783?

Answer: LCM of Numerators as per given numbers 67/361, 5301/2783 is

LCM of Numerators i.e. for 67,5301 is 355167

GCF of denominators i.e. for 361,2783 is 1.

Thus, LCM of Fractions is 355167.Finally, LCM of Fractions for 67/361, 5301/2783 is 355167.