Least Common Multiple of 715/22, 493/5092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/22, 493/5092 quickly i.e. 352495/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/22, 493/5092 is 352495/2.

LCM(715/22, 493/5092) = 352495/2

LCM of 715/22, 493/5092

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 715/22,493/5092

Given numbers are 715/22,493/5092

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 715,493

Least Common Multiple of Numerators i.e. LCM of 715,493 is 352495.

GCF of Denominators means GCF of 22,5092 as per the given fractions.

GCF of 22,5092 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,493

LCM of Fractions 715/22,493/5092 is 352495/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 352495

Least Common Multiple of 715,493 with GCF Formula

Least Common Multiple of 715,493 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 715,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,493) = 1

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

GCF(715,493) x common factors =1 x 1 = 1

LCM(715,493) = ( 715 × 493 ) / 1

LCM(715,493) = 352495 / 1

LCM(715,493) = 352495


Lets's calculate GCF of 22,5092

2 22, 5092
11, 2546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352495/2

Therefore the LCM of Fractions 715/22,493/5092 is 352495/2

Greatest Common Factor of 22,5092 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,5092 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1,2,4,19,38,67,76,134,268,1273,2546,5092

Greatest Common Factor

We found the factors 22,5092 . The biggest common factor number is the GCF number.
So the greatest common factor 22,5092 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 715/22, 493/5092

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 715/22, 493/5092?

Answer: LCM of Numerators as per given numbers 715/22, 493/5092 is

LCM of Numerators i.e. for 715,493 is 352495

GCF of denominators i.e. for 22,5092 is 2.

Thus, LCM of Fractions is 352495/2.Finally, LCM of Fractions for 715/22, 493/5092 is 352495/2.