Least Common Multiple of 260/50, 178/82, 451/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/50, 178/82, 451/58 quickly i.e. 5218070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/50, 178/82, 451/58 is 5218070.

LCM(260/50, 178/82, 451/58) = 5218070

LCM of 260/50, 178/82, 451/58

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 260/50,178/82,451/58

Given numbers are 260/50,178/82,451/58

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 260,178,451

Least Common Multiple of Numerators i.e. LCM of 260,178,451 is 10436140.

GCF of Denominators means GCF of 50,82,58 as per the given fractions.

GCF of 50,82,58 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,178,451

LCM of Fractions 260/50,178/82,451/58 is 5218070

2 260, 178, 451
130, 89, 451

∴ So the LCM of the given numbers is 2 x 130 x 89 x 451 = 10436140

Least Common Multiple of 260,178,451 with GCF Formula

Least Common Multiple of 260,178,451 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 260,178,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,178,451) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(260,178,451) x common factors =1 x 2 = 2

LCM(260,178,451) = ( 260 × 178 × 451 ) / 2

LCM(260,178,451) = 20872280 / 2

LCM(260,178,451) = 10436140


Lets's calculate GCF of 50,82,58

2 50, 82, 58
25, 41, 29

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10436140/2

Therefore the LCM of Fractions 260/50,178/82,451/58 is 5218070

Greatest Common Factor of 50,82,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,82,58 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 50,82,58 . The biggest common factor number is the GCF number.
So the greatest common factor 50,82,58 is 2.


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 260/50, 178/82, 451/58

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 260/50, 178/82, 451/58?

Answer: LCM of Numerators as per given numbers 260/50, 178/82, 451/58 is

LCM of Numerators i.e. for 260,178,451 is 10436140

GCF of denominators i.e. for 50,82,58 is 2.

Thus, LCM of Fractions is 5218070.Finally, LCM of Fractions for 260/50, 178/82, 451/58 is 5218070.