Least Common Multiple of 31/68, 67/17, 49/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/68, 67/17, 49/366 quickly i.e. 101773 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/68, 67/17, 49/366 is 101773.

LCM(31/68, 67/17, 49/366) = 101773

LCM of 31/68, 67/17, 49/366

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 31/68,67/17,49/366

Given numbers are 31/68,67/17,49/366

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 31,67,49

Least Common Multiple of Numerators i.e. LCM of 31,67,49 is 101773.

GCF of Denominators means GCF of 68,17,366 as per the given fractions.

GCF of 68,17,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,67,49

LCM of Fractions 31/68,67/17,49/366 is 101773

Given numbers has no common factors except 1. So, there LCM is their product i.e 101773

Least Common Multiple of 31,67,49 with GCF Formula

Least Common Multiple of 31,67,49 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 31,67,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,67,49) = 1

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

GCF(31,67,49) x common factors =1 x 1 = 1

LCM(31,67,49) = ( 31 × 67 × 49 ) / 1

LCM(31,67,49) = 101773 / 1

LCM(31,67,49) = 101773


Lets's calculate GCF of 68,17,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101773/1

Therefore the LCM of Fractions 31/68,67/17,49/366 is 101773

Greatest Common Factor of 68,17,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,17,366 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 17

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

1,17

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 68,17,366 . The biggest common factor number is the GCF number.
So the greatest common factor 68,17,366 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 31/68, 67/17, 49/366

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 31/68, 67/17, 49/366?

Answer: LCM of Numerators as per given numbers 31/68, 67/17, 49/366 is

LCM of Numerators i.e. for 31,67,49 is 101773

GCF of denominators i.e. for 68,17,366 is 1.

Thus, LCM of Fractions is 101773.Finally, LCM of Fractions for 31/68, 67/17, 49/366 is 101773.