Least Common Multiple of 214/37, 319/3777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/37, 319/3777 quickly i.e. 68266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/37, 319/3777 is 68266.

LCM(214/37, 319/3777) = 68266

LCM of 214/37, 319/3777

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 214/37,319/3777

Given numbers are 214/37,319/3777

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 214,319

Least Common Multiple of Numerators i.e. LCM of 214,319 is 68266.

GCF of Denominators means GCF of 37,3777 as per the given fractions.

GCF of 37,3777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,319

LCM of Fractions 214/37,319/3777 is 68266

Given numbers has no common factors except 1. So, there LCM is their product i.e 68266

Least Common Multiple of 214,319 with GCF Formula

Least Common Multiple of 214,319 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 214,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,319) = 1

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

GCF(214,319) x common factors =1 x 1 = 1

LCM(214,319) = ( 214 × 319 ) / 1

LCM(214,319) = 68266 / 1

LCM(214,319) = 68266


Lets's calculate GCF of 37,3777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68266/1

Therefore the LCM of Fractions 214/37,319/3777 is 68266

Greatest Common Factor of 37,3777 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,3777 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 3777

List of positive integer factors of 3777 that divides 3777 without a remainder.

1,3,1259,3777

Greatest Common Factor

We found the factors 37,3777 . The biggest common factor number is the GCF number.
So the greatest common factor 37,3777 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 214/37, 319/3777

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 214/37, 319/3777?

Answer: LCM of Numerators as per given numbers 214/37, 319/3777 is

LCM of Numerators i.e. for 214,319 is 68266

GCF of denominators i.e. for 37,3777 is 1.

Thus, LCM of Fractions is 68266.Finally, LCM of Fractions for 214/37, 319/3777 is 68266.