Least Common Multiple of 384/388, 212/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/388, 212/700 quickly i.e. 5088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/388, 212/700 is 5088.

LCM(384/388, 212/700) = 5088

LCM of 384/388, 212/700

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 384/388,212/700

Given numbers are 384/388,212/700

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 384,212

Least Common Multiple of Numerators i.e. LCM of 384,212 is 20352.

GCF of Denominators means GCF of 388,700 as per the given fractions.

GCF of 388,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,212

LCM of Fractions 384/388,212/700 is 5088

2 384, 212
2 192, 106
96, 53

∴ So the LCM of the given numbers is 2 x 2 x 96 x 53 = 20352

Least Common Multiple of 384,212 with GCF Formula

Least Common Multiple of 384,212 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 384,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,212) = 4

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

GCF(384,212) x common factors =4 x 1 = 4

LCM(384,212) = ( 384 × 212 ) / 4

LCM(384,212) = 81408 / 4

LCM(384,212) = 20352


Lets's calculate GCF of 388,700

2 388, 700
2 194, 350
97, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20352/4

Therefore the LCM of Fractions 384/388,212/700 is 5088

Greatest Common Factor of 388,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,700 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 388,700 . The biggest common factor number is the GCF number.
So the greatest common factor 388,700 is 4.


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 384/388, 212/700

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 384/388, 212/700?

Answer: LCM of Numerators as per given numbers 384/388, 212/700 is

LCM of Numerators i.e. for 384,212 is 20352

GCF of denominators i.e. for 388,700 is 4.

Thus, LCM of Fractions is 5088.Finally, LCM of Fractions for 384/388, 212/700 is 5088.