Least Common Multiple of 346/66, 157/63, 815/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/66, 157/63, 815/267 quickly i.e. 44272430/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/66, 157/63, 815/267 is 44272430/3.

LCM(346/66, 157/63, 815/267) = 44272430/3

LCM of 346/66, 157/63, 815/267

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 346/66,157/63,815/267

Given numbers are 346/66,157/63,815/267

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 346,157,815

Least Common Multiple of Numerators i.e. LCM of 346,157,815 is 44272430.

GCF of Denominators means GCF of 66,63,267 as per the given fractions.

GCF of 66,63,267 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,157,815

LCM of Fractions 346/66,157/63,815/267 is 44272430/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 44272430

Least Common Multiple of 346,157,815 with GCF Formula

Least Common Multiple of 346,157,815 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 346,157,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,157,815) = 1

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

GCF(346,157,815) x common factors =1 x 1 = 1

LCM(346,157,815) = ( 346 × 157 × 815 ) / 1

LCM(346,157,815) = 44272430 / 1

LCM(346,157,815) = 44272430


Lets's calculate GCF of 66,63,267

3 66, 63, 267
22, 21, 89

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44272430/3

Therefore the LCM of Fractions 346/66,157/63,815/267 is 44272430/3

Greatest Common Factor of 66,63,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,63,267 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 66,63,267 . The biggest common factor number is the GCF number.
So the greatest common factor 66,63,267 is 3.


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 346/66, 157/63, 815/267

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 346/66, 157/63, 815/267?

Answer: LCM of Numerators as per given numbers 346/66, 157/63, 815/267 is

LCM of Numerators i.e. for 346,157,815 is 44272430

GCF of denominators i.e. for 66,63,267 is 3.

Thus, LCM of Fractions is 44272430/3.Finally, LCM of Fractions for 346/66, 157/63, 815/267 is 44272430/3.