Least Common Multiple of 386/172, 5435/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 386/172, 5435/451 quickly i.e. 2097910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/172, 5435/451 is 2097910.

LCM(386/172, 5435/451) = 2097910

LCM of 386/172, 5435/451

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 386/172,5435/451

Given numbers are 386/172,5435/451

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 386,5435

Least Common Multiple of Numerators i.e. LCM of 386,5435 is 2097910.

GCF of Denominators means GCF of 172,451 as per the given fractions.

GCF of 172,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,5435

LCM of Fractions 386/172,5435/451 is 2097910

Given numbers has no common factors except 1. So, there LCM is their product i.e 2097910

Least Common Multiple of 386,5435 with GCF Formula

Least Common Multiple of 386,5435 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 386,5435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,5435) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(386,5435) x common factors =1 x 1 = 1

LCM(386,5435) = ( 386 × 5435 ) / 1

LCM(386,5435) = 2097910 / 1

LCM(386,5435) = 2097910


Lets's calculate GCF of 172,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2097910/1

Therefore the LCM of Fractions 386/172,5435/451 is 2097910

Greatest Common Factor of 172,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,451 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 172,451 . The biggest common factor number is the GCF number.
So the greatest common factor 172,451 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 386/172, 5435/451

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 386/172, 5435/451?

Answer: LCM of Numerators as per given numbers 386/172, 5435/451 is

LCM of Numerators i.e. for 386,5435 is 2097910

GCF of denominators i.e. for 172,451 is 1.

Thus, LCM of Fractions is 2097910.Finally, LCM of Fractions for 386/172, 5435/451 is 2097910.