Least Common Multiple of 291/34, 771/17, 267/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/34, 771/17, 267/476 quickly i.e. 6656043/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/34, 771/17, 267/476 is 6656043/17.

LCM(291/34, 771/17, 267/476) = 6656043/17

LCM of 291/34, 771/17, 267/476

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 291/34,771/17,267/476

Given numbers are 291/34,771/17,267/476

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 291,771,267

Least Common Multiple of Numerators i.e. LCM of 291,771,267 is 6656043.

GCF of Denominators means GCF of 34,17,476 as per the given fractions.

GCF of 34,17,476 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,771,267

LCM of Fractions 291/34,771/17,267/476 is 6656043/17

3 291, 771, 267
97, 257, 89

∴ So the LCM of the given numbers is 3 x 97 x 257 x 89 = 6656043

Least Common Multiple of 291,771,267 with GCF Formula

Least Common Multiple of 291,771,267 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 291,771,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,771,267) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(291,771,267) x common factors =3 x 3 = 9

LCM(291,771,267) = ( 291 × 771 × 267 ) / 9

LCM(291,771,267) = 59904387 / 9

LCM(291,771,267) = 6656043


Lets's calculate GCF of 34,17,476

17 34, 17, 476
2, 1, 28

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6656043/17

Therefore the LCM of Fractions 291/34,771/17,267/476 is 6656043/17

Greatest Common Factor of 34,17,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,17,476 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 34,17,476 . The biggest common factor number is the GCF number.
So the greatest common factor 34,17,476 is 17.


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 291/34, 771/17, 267/476

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 291/34, 771/17, 267/476?

Answer: LCM of Numerators as per given numbers 291/34, 771/17, 267/476 is

LCM of Numerators i.e. for 291,771,267 is 6656043

GCF of denominators i.e. for 34,17,476 is 17.

Thus, LCM of Fractions is 6656043/17.Finally, LCM of Fractions for 291/34, 771/17, 267/476 is 6656043/17.