Least Common Multiple of 86/564, 878/368, 388/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/564, 878/368, 388/226 quickly i.e. 3662138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/564, 878/368, 388/226 is 3662138.

LCM(86/564, 878/368, 388/226) = 3662138

LCM of 86/564, 878/368, 388/226

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 86/564,878/368,388/226

Given numbers are 86/564,878/368,388/226

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 86,878,388

Least Common Multiple of Numerators i.e. LCM of 86,878,388 is 7324276.

GCF of Denominators means GCF of 564,368,226 as per the given fractions.

GCF of 564,368,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,878,388

LCM of Fractions 86/564,878/368,388/226 is 3662138

2 86, 878, 388
43, 439, 194

∴ So the LCM of the given numbers is 2 x 43 x 439 x 194 = 7324276

Least Common Multiple of 86,878,388 with GCF Formula

Least Common Multiple of 86,878,388 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 86,878,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,878,388) = 2

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

GCF(86,878,388) x common factors =2 x 2 = 4

LCM(86,878,388) = ( 86 × 878 × 388 ) / 4

LCM(86,878,388) = 29297104 / 4

LCM(86,878,388) = 7324276


Lets's calculate GCF of 564,368,226

2 564, 368, 226
282, 184, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7324276/2

Therefore the LCM of Fractions 86/564,878/368,388/226 is 3662138

Greatest Common Factor of 564,368,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,368,226 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

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 564,368,226 . The biggest common factor number is the GCF number.
So the greatest common factor 564,368,226 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 86/564, 878/368, 388/226

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 86/564, 878/368, 388/226?

Answer: LCM of Numerators as per given numbers 86/564, 878/368, 388/226 is

LCM of Numerators i.e. for 86,878,388 is 7324276

GCF of denominators i.e. for 564,368,226 is 2.

Thus, LCM of Fractions is 3662138.Finally, LCM of Fractions for 86/564, 878/368, 388/226 is 3662138.