Least Common Multiple of 86/407, 48/708, 163/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/407, 48/708, 163/201 quickly i.e. 336432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/407, 48/708, 163/201 is 336432.

LCM(86/407, 48/708, 163/201) = 336432

LCM of 86/407, 48/708, 163/201

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 86/407,48/708,163/201

Given numbers are 86/407,48/708,163/201

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 86,48,163

Least Common Multiple of Numerators i.e. LCM of 86,48,163 is 336432.

GCF of Denominators means GCF of 407,708,201 as per the given fractions.

GCF of 407,708,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,48,163

LCM of Fractions 86/407,48/708,163/201 is 336432

2 86, 48, 163
43, 24, 163

∴ So the LCM of the given numbers is 2 x 43 x 24 x 163 = 336432

Least Common Multiple of 86,48,163 with GCF Formula

Least Common Multiple of 86,48,163 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 86,48,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,48,163) = 1

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

GCF(86,48,163) x common factors =1 x 2 = 2

LCM(86,48,163) = ( 86 × 48 × 163 ) / 2

LCM(86,48,163) = 672864 / 2

LCM(86,48,163) = 336432


Lets's calculate GCF of 407,708,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336432/1

Therefore the LCM of Fractions 86/407,48/708,163/201 is 336432

Greatest Common Factor of 407,708,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,708,201 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 407,708,201 . The biggest common factor number is the GCF number.
So the greatest common factor 407,708,201 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 86/407, 48/708, 163/201

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 86/407, 48/708, 163/201?

Answer: LCM of Numerators as per given numbers 86/407, 48/708, 163/201 is

LCM of Numerators i.e. for 86,48,163 is 336432

GCF of denominators i.e. for 407,708,201 is 1.

Thus, LCM of Fractions is 336432.Finally, LCM of Fractions for 86/407, 48/708, 163/201 is 336432.