Least Common Multiple of 67/505, 273/494, 380/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/505, 273/494, 380/767 quickly i.e. 6950580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/505, 273/494, 380/767 is 6950580.

LCM(67/505, 273/494, 380/767) = 6950580

LCM of 67/505, 273/494, 380/767

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 67/505,273/494,380/767

Given numbers are 67/505,273/494,380/767

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 67,273,380

Least Common Multiple of Numerators i.e. LCM of 67,273,380 is 6950580.

GCF of Denominators means GCF of 505,494,767 as per the given fractions.

GCF of 505,494,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,273,380

LCM of Fractions 67/505,273/494,380/767 is 6950580

Given numbers has no common factors except 1. So, there LCM is their product i.e 6950580

Least Common Multiple of 67,273,380 with GCF Formula

Least Common Multiple of 67,273,380 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 67,273,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,273,380) = 1

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

GCF(67,273,380) x common factors =1 x 1 = 1

LCM(67,273,380) = ( 67 × 273 × 380 ) / 1

LCM(67,273,380) = 6950580 / 1

LCM(67,273,380) = 6950580


Lets's calculate GCF of 505,494,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6950580/1

Therefore the LCM of Fractions 67/505,273/494,380/767 is 6950580

Greatest Common Factor of 505,494,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,494,767 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 505,494,767 . The biggest common factor number is the GCF number.
So the greatest common factor 505,494,767 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 67/505, 273/494, 380/767

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 67/505, 273/494, 380/767?

Answer: LCM of Numerators as per given numbers 67/505, 273/494, 380/767 is

LCM of Numerators i.e. for 67,273,380 is 6950580

GCF of denominators i.e. for 505,494,767 is 1.

Thus, LCM of Fractions is 6950580.Finally, LCM of Fractions for 67/505, 273/494, 380/767 is 6950580.