Least Common Multiple of 86/226, 51/218, 381/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/226, 51/218, 381/668 quickly i.e. 278511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/226, 51/218, 381/668 is 278511.

LCM(86/226, 51/218, 381/668) = 278511

LCM of 86/226, 51/218, 381/668

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 86/226,51/218,381/668

Given numbers are 86/226,51/218,381/668

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 86,51,381

Least Common Multiple of Numerators i.e. LCM of 86,51,381 is 557022.

GCF of Denominators means GCF of 226,218,668 as per the given fractions.

GCF of 226,218,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,51,381

LCM of Fractions 86/226,51/218,381/668 is 278511

3 86, 51, 381
86, 17, 127

∴ So the LCM of the given numbers is 3 x 86 x 17 x 127 = 557022

Least Common Multiple of 86,51,381 with GCF Formula

Least Common Multiple of 86,51,381 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 86,51,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,51,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(86,51,381) x common factors =1 x 3 = 3

LCM(86,51,381) = ( 86 × 51 × 381 ) / 3

LCM(86,51,381) = 1671066 / 3

LCM(86,51,381) = 557022


Lets's calculate GCF of 226,218,668

2 226, 218, 668
113, 109, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 557022/2

Therefore the LCM of Fractions 86/226,51/218,381/668 is 278511

Greatest Common Factor of 226,218,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,218,668 By Matching Biggest Common Factor Method

Factors of 226

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

1,2,113,226

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 226,218,668 . The biggest common factor number is the GCF number.
So the greatest common factor 226,218,668 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 86/226, 51/218, 381/668

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 86/226, 51/218, 381/668?

Answer: LCM of Numerators as per given numbers 86/226, 51/218, 381/668 is

LCM of Numerators i.e. for 86,51,381 is 557022

GCF of denominators i.e. for 226,218,668 is 2.

Thus, LCM of Fractions is 278511.Finally, LCM of Fractions for 86/226, 51/218, 381/668 is 278511.