Least Common Multiple of 17/13, 17/10, 770/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/13, 17/10, 770/683 quickly i.e. 13090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/13, 17/10, 770/683 is 13090.

LCM(17/13, 17/10, 770/683) = 13090

LCM of 17/13, 17/10, 770/683

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 17/13,17/10,770/683

Given numbers are 17/13,17/10,770/683

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 17,17,770

Least Common Multiple of Numerators i.e. LCM of 17,17,770 is 13090.

GCF of Denominators means GCF of 13,10,683 as per the given fractions.

GCF of 13,10,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,17,770

LCM of Fractions 17/13,17/10,770/683 is 13090

17 17, 17, 770
1, 1, 770

∴ So the LCM of the given numbers is 17 x 1 x 1 x 770 = 13090

Least Common Multiple of 17,17,770 with GCF Formula

Least Common Multiple of 17,17,770 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 17,17,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,17,770) = 1

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

GCF(17,17,770) x common factors =1 x 17 = 17

LCM(17,17,770) = ( 17 × 17 × 770 ) / 17

LCM(17,17,770) = 222530 / 17

LCM(17,17,770) = 13090


Lets's calculate GCF of 13,10,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13090/1

Therefore the LCM of Fractions 17/13,17/10,770/683 is 13090

Greatest Common Factor of 13,10,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,10,683 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 13,10,683 . The biggest common factor number is the GCF number.
So the greatest common factor 13,10,683 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/13, 17/10, 770/683

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 17/13, 17/10, 770/683?

Answer: LCM of Numerators as per given numbers 17/13, 17/10, 770/683 is

LCM of Numerators i.e. for 17,17,770 is 13090

GCF of denominators i.e. for 13,10,683 is 1.

Thus, LCM of Fractions is 13090.Finally, LCM of Fractions for 17/13, 17/10, 770/683 is 13090.