Least Common Multiple of 386/595, 3672/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 386/595, 3672/381 quickly i.e. 708696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/595, 3672/381 is 708696.

LCM(386/595, 3672/381) = 708696

LCM of 386/595, 3672/381

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 386/595,3672/381

Given numbers are 386/595,3672/381

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 386,3672

Least Common Multiple of Numerators i.e. LCM of 386,3672 is 708696.

GCF of Denominators means GCF of 595,381 as per the given fractions.

GCF of 595,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,3672

LCM of Fractions 386/595,3672/381 is 708696

2 386, 3672
193, 1836

∴ So the LCM of the given numbers is 2 x 193 x 1836 = 708696

Least Common Multiple of 386,3672 with GCF Formula

Least Common Multiple of 386,3672 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 386,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,3672) = 2

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

GCF(386,3672) x common factors =2 x 1 = 2

LCM(386,3672) = ( 386 × 3672 ) / 2

LCM(386,3672) = 1417392 / 2

LCM(386,3672) = 708696


Lets's calculate GCF of 595,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708696/1

Therefore the LCM of Fractions 386/595,3672/381 is 708696

Greatest Common Factor of 595,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,381 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 595,381 . The biggest common factor number is the GCF number.
So the greatest common factor 595,381 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 386/595, 3672/381

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 386/595, 3672/381?

Answer: LCM of Numerators as per given numbers 386/595, 3672/381 is

LCM of Numerators i.e. for 386,3672 is 708696

GCF of denominators i.e. for 595,381 is 1.

Thus, LCM of Fractions is 708696.Finally, LCM of Fractions for 386/595, 3672/381 is 708696.