Least Common Multiple of 60/214, 1463/6728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/214, 1463/6728 quickly i.e. 43890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/214, 1463/6728 is 43890.

LCM(60/214, 1463/6728) = 43890

LCM of 60/214, 1463/6728

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 60/214,1463/6728

Given numbers are 60/214,1463/6728

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 60,1463

Least Common Multiple of Numerators i.e. LCM of 60,1463 is 87780.

GCF of Denominators means GCF of 214,6728 as per the given fractions.

GCF of 214,6728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,1463

LCM of Fractions 60/214,1463/6728 is 43890

Given numbers has no common factors except 1. So, there LCM is their product i.e 87780

Least Common Multiple of 60,1463 with GCF Formula

Least Common Multiple of 60,1463 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 60,1463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,1463) = 1

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

GCF(60,1463) x common factors =1 x 1 = 1

LCM(60,1463) = ( 60 × 1463 ) / 1

LCM(60,1463) = 87780 / 1

LCM(60,1463) = 87780


Lets's calculate GCF of 214,6728

2 214, 6728
107, 3364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87780/2

Therefore the LCM of Fractions 60/214,1463/6728 is 43890

Greatest Common Factor of 214,6728 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,6728 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1,2,4,8,29,58,116,232,841,1682,3364,6728

Greatest Common Factor

We found the factors 214,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 214,6728 is 2.


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 60/214, 1463/6728

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 60/214, 1463/6728?

Answer: LCM of Numerators as per given numbers 60/214, 1463/6728 is

LCM of Numerators i.e. for 60,1463 is 87780

GCF of denominators i.e. for 214,6728 is 2.

Thus, LCM of Fractions is 43890.Finally, LCM of Fractions for 60/214, 1463/6728 is 43890.