Least Common Multiple of 17/14, 61/51, 306/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/14, 61/51, 306/930 quickly i.e. 18666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/14, 61/51, 306/930 is 18666.

LCM(17/14, 61/51, 306/930) = 18666

LCM of 17/14, 61/51, 306/930

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 17/14,61/51,306/930

Given numbers are 17/14,61/51,306/930

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 17,61,306

Least Common Multiple of Numerators i.e. LCM of 17,61,306 is 18666.

GCF of Denominators means GCF of 14,51,930 as per the given fractions.

GCF of 14,51,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,61,306

LCM of Fractions 17/14,61/51,306/930 is 18666

17 17, 61, 306
1, 61, 18

∴ So the LCM of the given numbers is 17 x 1 x 61 x 18 = 18666

Least Common Multiple of 17,61,306 with GCF Formula

Least Common Multiple of 17,61,306 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 17,61,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,61,306) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,61,306) x common factors =1 x 17 = 17

LCM(17,61,306) = ( 17 × 61 × 306 ) / 17

LCM(17,61,306) = 317322 / 17

LCM(17,61,306) = 18666


Lets's calculate GCF of 14,51,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18666/1

Therefore the LCM of Fractions 17/14,61/51,306/930 is 18666

Greatest Common Factor of 14,51,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,51,930 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 14,51,930 . The biggest common factor number is the GCF number.
So the greatest common factor 14,51,930 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 17/14, 61/51, 306/930

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 17/14, 61/51, 306/930?

Answer: LCM of Numerators as per given numbers 17/14, 61/51, 306/930 is

LCM of Numerators i.e. for 17,61,306 is 18666

GCF of denominators i.e. for 14,51,930 is 1.

Thus, LCM of Fractions is 18666.Finally, LCM of Fractions for 17/14, 61/51, 306/930 is 18666.