Least Common Multiple of 26/509, 46/268, 741/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/509, 46/268, 741/527 quickly i.e. 34086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/509, 46/268, 741/527 is 34086.

LCM(26/509, 46/268, 741/527) = 34086

LCM of 26/509, 46/268, 741/527

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 26/509,46/268,741/527

Given numbers are 26/509,46/268,741/527

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 26,46,741

Least Common Multiple of Numerators i.e. LCM of 26,46,741 is 34086.

GCF of Denominators means GCF of 509,268,527 as per the given fractions.

GCF of 509,268,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,46,741

LCM of Fractions 26/509,46/268,741/527 is 34086

2 26, 46, 741
13 13, 23, 741
1, 23, 57

∴ So the LCM of the given numbers is 2 x 13 x 1 x 23 x 57 = 34086

Least Common Multiple of 26,46,741 with GCF Formula

Least Common Multiple of 26,46,741 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 26,46,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,46,741) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,46,741) x common factors =1 x 26 = 26

LCM(26,46,741) = ( 26 × 46 × 741 ) / 26

LCM(26,46,741) = 886236 / 26

LCM(26,46,741) = 34086


Lets's calculate GCF of 509,268,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34086/1

Therefore the LCM of Fractions 26/509,46/268,741/527 is 34086

Greatest Common Factor of 509,268,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,268,527 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 509,268,527 . The biggest common factor number is the GCF number.
So the greatest common factor 509,268,527 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 26/509, 46/268, 741/527

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 26/509, 46/268, 741/527?

Answer: LCM of Numerators as per given numbers 26/509, 46/268, 741/527 is

LCM of Numerators i.e. for 26,46,741 is 34086

GCF of denominators i.e. for 509,268,527 is 1.

Thus, LCM of Fractions is 34086.Finally, LCM of Fractions for 26/509, 46/268, 741/527 is 34086.