Least Common Multiple of 3/676, 19/304, 17/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/676, 19/304, 17/262 quickly i.e. 969/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/676, 19/304, 17/262 is 969/2.

LCM(3/676, 19/304, 17/262) = 969/2

LCM of 3/676, 19/304, 17/262

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 3/676,19/304,17/262

Given numbers are 3/676,19/304,17/262

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 3,19,17

Least Common Multiple of Numerators i.e. LCM of 3,19,17 is 969.

GCF of Denominators means GCF of 676,304,262 as per the given fractions.

GCF of 676,304,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,19,17

LCM of Fractions 3/676,19/304,17/262 is 969/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 969

Least Common Multiple of 3,19,17 with GCF Formula

Least Common Multiple of 3,19,17 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 3,19,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,19,17) = 1

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

GCF(3,19,17) x common factors =1 x 1 = 1

LCM(3,19,17) = ( 3 × 19 × 17 ) / 1

LCM(3,19,17) = 969 / 1

LCM(3,19,17) = 969


Lets's calculate GCF of 676,304,262

2 676, 304, 262
338, 152, 131

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 969/2

Therefore the LCM of Fractions 3/676,19/304,17/262 is 969/2

Greatest Common Factor of 676,304,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,304,262 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 676,304,262 . The biggest common factor number is the GCF number.
So the greatest common factor 676,304,262 is 2.


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 3/676, 19/304, 17/262

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 3/676, 19/304, 17/262?

Answer: LCM of Numerators as per given numbers 3/676, 19/304, 17/262 is

LCM of Numerators i.e. for 3,19,17 is 969

GCF of denominators i.e. for 676,304,262 is 2.

Thus, LCM of Fractions is 969/2.Finally, LCM of Fractions for 3/676, 19/304, 17/262 is 969/2.