Least Common Multiple of 525/11, 686/59, 811/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/11, 686/59, 811/305 quickly i.e. 41725950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/11, 686/59, 811/305 is 41725950.

LCM(525/11, 686/59, 811/305) = 41725950

LCM of 525/11, 686/59, 811/305

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 525/11,686/59,811/305

Given numbers are 525/11,686/59,811/305

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 525,686,811

Least Common Multiple of Numerators i.e. LCM of 525,686,811 is 41725950.

GCF of Denominators means GCF of 11,59,305 as per the given fractions.

GCF of 11,59,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,686,811

LCM of Fractions 525/11,686/59,811/305 is 41725950

7 525, 686, 811
75, 98, 811

∴ So the LCM of the given numbers is 7 x 75 x 98 x 811 = 41725950

Least Common Multiple of 525,686,811 with GCF Formula

Least Common Multiple of 525,686,811 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 525,686,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,686,811) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(525,686,811) x common factors =1 x 7 = 7

LCM(525,686,811) = ( 525 × 686 × 811 ) / 7

LCM(525,686,811) = 292081650 / 7

LCM(525,686,811) = 41725950


Lets's calculate GCF of 11,59,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41725950/1

Therefore the LCM of Fractions 525/11,686/59,811/305 is 41725950

Greatest Common Factor of 11,59,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,59,305 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 11,59,305 . The biggest common factor number is the GCF number.
So the greatest common factor 11,59,305 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 525/11, 686/59, 811/305

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 525/11, 686/59, 811/305?

Answer: LCM of Numerators as per given numbers 525/11, 686/59, 811/305 is

LCM of Numerators i.e. for 525,686,811 is 41725950

GCF of denominators i.e. for 11,59,305 is 1.

Thus, LCM of Fractions is 41725950.Finally, LCM of Fractions for 525/11, 686/59, 811/305 is 41725950.