Least Common Multiple of 86/442, 234/503, 258/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/442, 234/503, 258/618 quickly i.e. 10062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/442, 234/503, 258/618 is 10062.

LCM(86/442, 234/503, 258/618) = 10062

LCM of 86/442, 234/503, 258/618

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 86/442,234/503,258/618

Given numbers are 86/442,234/503,258/618

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 86,234,258

Least Common Multiple of Numerators i.e. LCM of 86,234,258 is 10062.

GCF of Denominators means GCF of 442,503,618 as per the given fractions.

GCF of 442,503,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,234,258

LCM of Fractions 86/442,234/503,258/618 is 10062

2 86, 234, 258
3 43, 117, 129
43 43, 39, 43
1, 39, 1

∴ So the LCM of the given numbers is 2 x 3 x 43 x 1 x 39 x 1 = 10062

Least Common Multiple of 86,234,258 with GCF Formula

Least Common Multiple of 86,234,258 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 86,234,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,234,258) = 2

common factors(in case of two or more numbers have common factors) = 258

GCF(86,234,258) x common factors =2 x 258 = 516

LCM(86,234,258) = ( 86 × 234 × 258 ) / 516

LCM(86,234,258) = 5191992 / 516

LCM(86,234,258) = 10062


Lets's calculate GCF of 442,503,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10062/1

Therefore the LCM of Fractions 86/442,234/503,258/618 is 10062

Greatest Common Factor of 442,503,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,503,618 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 442,503,618 . The biggest common factor number is the GCF number.
So the greatest common factor 442,503,618 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 86/442, 234/503, 258/618

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 86/442, 234/503, 258/618?

Answer: LCM of Numerators as per given numbers 86/442, 234/503, 258/618 is

LCM of Numerators i.e. for 86,234,258 is 10062

GCF of denominators i.e. for 442,503,618 is 1.

Thus, LCM of Fractions is 10062.Finally, LCM of Fractions for 86/442, 234/503, 258/618 is 10062.