Least Common Multiple of 86/155, 686/10, 322/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/155, 686/10, 322/455 quickly i.e. 678454/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/155, 686/10, 322/455 is 678454/5.

LCM(86/155, 686/10, 322/455) = 678454/5

LCM of 86/155, 686/10, 322/455

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 86/155,686/10,322/455

Given numbers are 86/155,686/10,322/455

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 86,686,322

Least Common Multiple of Numerators i.e. LCM of 86,686,322 is 678454.

GCF of Denominators means GCF of 155,10,455 as per the given fractions.

GCF of 155,10,455 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,686,322

LCM of Fractions 86/155,686/10,322/455 is 678454/5

2 86, 686, 322
7 43, 343, 161
43, 49, 23

∴ So the LCM of the given numbers is 2 x 7 x 43 x 49 x 23 = 678454

Least Common Multiple of 86,686,322 with GCF Formula

Least Common Multiple of 86,686,322 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 86,686,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,686,322) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(86,686,322) x common factors =2 x 14 = 28

LCM(86,686,322) = ( 86 × 686 × 322 ) / 28

LCM(86,686,322) = 18996712 / 28

LCM(86,686,322) = 678454


Lets's calculate GCF of 155,10,455

5 155, 10, 455
31, 2, 91

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678454/5

Therefore the LCM of Fractions 86/155,686/10,322/455 is 678454/5

Greatest Common Factor of 155,10,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,10,455 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 155,10,455 . The biggest common factor number is the GCF number.
So the greatest common factor 155,10,455 is 5.


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 86/155, 686/10, 322/455

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 86/155, 686/10, 322/455?

Answer: LCM of Numerators as per given numbers 86/155, 686/10, 322/455 is

LCM of Numerators i.e. for 86,686,322 is 678454

GCF of denominators i.e. for 155,10,455 is 5.

Thus, LCM of Fractions is 678454/5.Finally, LCM of Fractions for 86/155, 686/10, 322/455 is 678454/5.