Least Common Multiple of 214/32, 306/38, 178/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/32, 306/38, 178/387 quickly i.e. 2914038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/32, 306/38, 178/387 is 2914038.

LCM(214/32, 306/38, 178/387) = 2914038

LCM of 214/32, 306/38, 178/387

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 214/32,306/38,178/387

Given numbers are 214/32,306/38,178/387

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 214,306,178

Least Common Multiple of Numerators i.e. LCM of 214,306,178 is 2914038.

GCF of Denominators means GCF of 32,38,387 as per the given fractions.

GCF of 32,38,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,306,178

LCM of Fractions 214/32,306/38,178/387 is 2914038

2 214, 306, 178
107, 153, 89

∴ So the LCM of the given numbers is 2 x 107 x 153 x 89 = 2914038

Least Common Multiple of 214,306,178 with GCF Formula

Least Common Multiple of 214,306,178 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 214,306,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,306,178) = 2

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

GCF(214,306,178) x common factors =2 x 2 = 4

LCM(214,306,178) = ( 214 × 306 × 178 ) / 4

LCM(214,306,178) = 11656152 / 4

LCM(214,306,178) = 2914038


Lets's calculate GCF of 32,38,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2914038/1

Therefore the LCM of Fractions 214/32,306/38,178/387 is 2914038

Greatest Common Factor of 32,38,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,38,387 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 32,38,387 . The biggest common factor number is the GCF number.
So the greatest common factor 32,38,387 is 1.


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 214/32, 306/38, 178/387

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 214/32, 306/38, 178/387?

Answer: LCM of Numerators as per given numbers 214/32, 306/38, 178/387 is

LCM of Numerators i.e. for 214,306,178 is 2914038

GCF of denominators i.e. for 32,38,387 is 1.

Thus, LCM of Fractions is 2914038.Finally, LCM of Fractions for 214/32, 306/38, 178/387 is 2914038.