Least Common Multiple of 517/513, 770/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/513, 770/987 quickly i.e. 36190/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/513, 770/987 is 36190/3.

LCM(517/513, 770/987) = 36190/3

LCM of 517/513, 770/987

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 517/513,770/987

Given numbers are 517/513,770/987

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 517,770

Least Common Multiple of Numerators i.e. LCM of 517,770 is 36190.

GCF of Denominators means GCF of 513,987 as per the given fractions.

GCF of 513,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,770

LCM of Fractions 517/513,770/987 is 36190/3

11 517, 770
47, 70

∴ So the LCM of the given numbers is 11 x 47 x 70 = 36190

Least Common Multiple of 517,770 with GCF Formula

Least Common Multiple of 517,770 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 517,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,770) = 11

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

GCF(517,770) x common factors =11 x 1 = 11

LCM(517,770) = ( 517 × 770 ) / 11

LCM(517,770) = 398090 / 11

LCM(517,770) = 36190


Lets's calculate GCF of 513,987

3 513, 987
171, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36190/3

Therefore the LCM of Fractions 517/513,770/987 is 36190/3

Greatest Common Factor of 513,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,987 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 513,987 . The biggest common factor number is the GCF number.
So the greatest common factor 513,987 is 3.


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 517/513, 770/987

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 517/513, 770/987?

Answer: LCM of Numerators as per given numbers 517/513, 770/987 is

LCM of Numerators i.e. for 517,770 is 36190

GCF of denominators i.e. for 513,987 is 3.

Thus, LCM of Fractions is 36190/3.Finally, LCM of Fractions for 517/513, 770/987 is 36190/3.