Least Common Multiple of 7158/188, 7460/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7158/188, 7460/226 quickly i.e. 13349670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7158/188, 7460/226 is 13349670.

LCM(7158/188, 7460/226) = 13349670

LCM of 7158/188, 7460/226

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 7158/188,7460/226

Given numbers are 7158/188,7460/226

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 7158,7460

Least Common Multiple of Numerators i.e. LCM of 7158,7460 is 26699340.

GCF of Denominators means GCF of 188,226 as per the given fractions.

GCF of 188,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7158,7460

LCM of Fractions 7158/188,7460/226 is 13349670

2 7158, 7460
3579, 3730

∴ So the LCM of the given numbers is 2 x 3579 x 3730 = 26699340

Least Common Multiple of 7158,7460 with GCF Formula

Least Common Multiple of 7158,7460 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 7158,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7158,7460) = 2

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

GCF(7158,7460) x common factors =2 x 1 = 2

LCM(7158,7460) = ( 7158 × 7460 ) / 2

LCM(7158,7460) = 53398680 / 2

LCM(7158,7460) = 26699340


Lets's calculate GCF of 188,226

2 188, 226
94, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26699340/2

Therefore the LCM of Fractions 7158/188,7460/226 is 13349670

Greatest Common Factor of 188,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,226 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 188,226 . The biggest common factor number is the GCF number.
So the greatest common factor 188,226 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 7158/188, 7460/226

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 7158/188, 7460/226?

Answer: LCM of Numerators as per given numbers 7158/188, 7460/226 is

LCM of Numerators i.e. for 7158,7460 is 26699340

GCF of denominators i.e. for 188,226 is 2.

Thus, LCM of Fractions is 13349670.Finally, LCM of Fractions for 7158/188, 7460/226 is 13349670.