Least Common Multiple of 59/414, 67/493, 414/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/414, 67/493, 414/253 quickly i.e. 1636542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/414, 67/493, 414/253 is 1636542.

LCM(59/414, 67/493, 414/253) = 1636542

LCM of 59/414, 67/493, 414/253

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 59/414,67/493,414/253

Given numbers are 59/414,67/493,414/253

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 59,67,414

Least Common Multiple of Numerators i.e. LCM of 59,67,414 is 1636542.

GCF of Denominators means GCF of 414,493,253 as per the given fractions.

GCF of 414,493,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,67,414

LCM of Fractions 59/414,67/493,414/253 is 1636542

Given numbers has no common factors except 1. So, there LCM is their product i.e 1636542

Least Common Multiple of 59,67,414 with GCF Formula

Least Common Multiple of 59,67,414 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 59,67,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,67,414) = 1

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

GCF(59,67,414) x common factors =1 x 1 = 1

LCM(59,67,414) = ( 59 × 67 × 414 ) / 1

LCM(59,67,414) = 1636542 / 1

LCM(59,67,414) = 1636542


Lets's calculate GCF of 414,493,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1636542/1

Therefore the LCM of Fractions 59/414,67/493,414/253 is 1636542

Greatest Common Factor of 414,493,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,493,253 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 414,493,253 . The biggest common factor number is the GCF number.
So the greatest common factor 414,493,253 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 59/414, 67/493, 414/253

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 59/414, 67/493, 414/253?

Answer: LCM of Numerators as per given numbers 59/414, 67/493, 414/253 is

LCM of Numerators i.e. for 59,67,414 is 1636542

GCF of denominators i.e. for 414,493,253 is 1.

Thus, LCM of Fractions is 1636542.Finally, LCM of Fractions for 59/414, 67/493, 414/253 is 1636542.