Least Common Multiple of 208/131, 318/166, 467/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/131, 318/166, 467/680 quickly i.e. 15444624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/131, 318/166, 467/680 is 15444624.

LCM(208/131, 318/166, 467/680) = 15444624

LCM of 208/131, 318/166, 467/680

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 208/131,318/166,467/680

Given numbers are 208/131,318/166,467/680

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 208,318,467

Least Common Multiple of Numerators i.e. LCM of 208,318,467 is 15444624.

GCF of Denominators means GCF of 131,166,680 as per the given fractions.

GCF of 131,166,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,318,467

LCM of Fractions 208/131,318/166,467/680 is 15444624

2 208, 318, 467
104, 159, 467

∴ So the LCM of the given numbers is 2 x 104 x 159 x 467 = 15444624

Least Common Multiple of 208,318,467 with GCF Formula

Least Common Multiple of 208,318,467 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 208,318,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,318,467) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(208,318,467) x common factors =1 x 2 = 2

LCM(208,318,467) = ( 208 × 318 × 467 ) / 2

LCM(208,318,467) = 30889248 / 2

LCM(208,318,467) = 15444624


Lets's calculate GCF of 131,166,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15444624/1

Therefore the LCM of Fractions 208/131,318/166,467/680 is 15444624

Greatest Common Factor of 131,166,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,166,680 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 131,166,680 . The biggest common factor number is the GCF number.
So the greatest common factor 131,166,680 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 208/131, 318/166, 467/680

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 208/131, 318/166, 467/680?

Answer: LCM of Numerators as per given numbers 208/131, 318/166, 467/680 is

LCM of Numerators i.e. for 208,318,467 is 15444624

GCF of denominators i.e. for 131,166,680 is 1.

Thus, LCM of Fractions is 15444624.Finally, LCM of Fractions for 208/131, 318/166, 467/680 is 15444624.