Least Common Multiple of 86/178, 365/862, 454/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/178, 365/862, 454/432 quickly i.e. 3562765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/178, 365/862, 454/432 is 3562765.

LCM(86/178, 365/862, 454/432) = 3562765

LCM of 86/178, 365/862, 454/432

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 86/178,365/862,454/432

Given numbers are 86/178,365/862,454/432

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 86,365,454

Least Common Multiple of Numerators i.e. LCM of 86,365,454 is 7125530.

GCF of Denominators means GCF of 178,862,432 as per the given fractions.

GCF of 178,862,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,365,454

LCM of Fractions 86/178,365/862,454/432 is 3562765

2 86, 365, 454
43, 365, 227

∴ So the LCM of the given numbers is 2 x 43 x 365 x 227 = 7125530

Least Common Multiple of 86,365,454 with GCF Formula

Least Common Multiple of 86,365,454 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 86,365,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,365,454) = 1

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

GCF(86,365,454) x common factors =1 x 2 = 2

LCM(86,365,454) = ( 86 × 365 × 454 ) / 2

LCM(86,365,454) = 14251060 / 2

LCM(86,365,454) = 7125530


Lets's calculate GCF of 178,862,432

2 178, 862, 432
89, 431, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7125530/2

Therefore the LCM of Fractions 86/178,365/862,454/432 is 3562765

Greatest Common Factor of 178,862,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,862,432 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 178,862,432 . The biggest common factor number is the GCF number.
So the greatest common factor 178,862,432 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 86/178, 365/862, 454/432

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 86/178, 365/862, 454/432?

Answer: LCM of Numerators as per given numbers 86/178, 365/862, 454/432 is

LCM of Numerators i.e. for 86,365,454 is 7125530

GCF of denominators i.e. for 178,862,432 is 2.

Thus, LCM of Fractions is 3562765.Finally, LCM of Fractions for 86/178, 365/862, 454/432 is 3562765.