Least Common Multiple of 67/883, 277/905, 491/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/883, 277/905, 491/381 quickly i.e. 9112469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/883, 277/905, 491/381 is 9112469.

LCM(67/883, 277/905, 491/381) = 9112469

LCM of 67/883, 277/905, 491/381

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 67/883,277/905,491/381

Given numbers are 67/883,277/905,491/381

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 67,277,491

Least Common Multiple of Numerators i.e. LCM of 67,277,491 is 9112469.

GCF of Denominators means GCF of 883,905,381 as per the given fractions.

GCF of 883,905,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,277,491

LCM of Fractions 67/883,277/905,491/381 is 9112469

Given numbers has no common factors except 1. So, there LCM is their product i.e 9112469

Least Common Multiple of 67,277,491 with GCF Formula

Least Common Multiple of 67,277,491 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 67,277,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,277,491) = 1

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

GCF(67,277,491) x common factors =1 x 1 = 1

LCM(67,277,491) = ( 67 × 277 × 491 ) / 1

LCM(67,277,491) = 9112469 / 1

LCM(67,277,491) = 9112469


Lets's calculate GCF of 883,905,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9112469/1

Therefore the LCM of Fractions 67/883,277/905,491/381 is 9112469

Greatest Common Factor of 883,905,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,905,381 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 883,905,381 . The biggest common factor number is the GCF number.
So the greatest common factor 883,905,381 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 67/883, 277/905, 491/381

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 67/883, 277/905, 491/381?

Answer: LCM of Numerators as per given numbers 67/883, 277/905, 491/381 is

LCM of Numerators i.e. for 67,277,491 is 9112469

GCF of denominators i.e. for 883,905,381 is 1.

Thus, LCM of Fractions is 9112469.Finally, LCM of Fractions for 67/883, 277/905, 491/381 is 9112469.