Least Common Multiple of 11/513, 1858/6989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/513, 1858/6989 quickly i.e. 20438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/513, 1858/6989 is 20438.

LCM(11/513, 1858/6989) = 20438

LCM of 11/513, 1858/6989

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 11/513,1858/6989

Given numbers are 11/513,1858/6989

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 11,1858

Least Common Multiple of Numerators i.e. LCM of 11,1858 is 20438.

GCF of Denominators means GCF of 513,6989 as per the given fractions.

GCF of 513,6989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,1858

LCM of Fractions 11/513,1858/6989 is 20438

Given numbers has no common factors except 1. So, there LCM is their product i.e 20438

Least Common Multiple of 11,1858 with GCF Formula

Least Common Multiple of 11,1858 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 11,1858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,1858) = 1

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

GCF(11,1858) x common factors =1 x 1 = 1

LCM(11,1858) = ( 11 × 1858 ) / 1

LCM(11,1858) = 20438 / 1

LCM(11,1858) = 20438


Lets's calculate GCF of 513,6989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20438/1

Therefore the LCM of Fractions 11/513,1858/6989 is 20438

Greatest Common Factor of 513,6989 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,6989 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 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1,29,241,6989

Greatest Common Factor

We found the factors 513,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 513,6989 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 11/513, 1858/6989

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 11/513, 1858/6989?

Answer: LCM of Numerators as per given numbers 11/513, 1858/6989 is

LCM of Numerators i.e. for 11,1858 is 20438

GCF of denominators i.e. for 513,6989 is 1.

Thus, LCM of Fractions is 20438.Finally, LCM of Fractions for 11/513, 1858/6989 is 20438.