Least Common Multiple of 216/211, 708/208, 774/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/211, 708/208, 774/513 quickly i.e. 547992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/211, 708/208, 774/513 is 547992.

LCM(216/211, 708/208, 774/513) = 547992

LCM of 216/211, 708/208, 774/513

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 216/211,708/208,774/513

Given numbers are 216/211,708/208,774/513

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 216,708,774

Least Common Multiple of Numerators i.e. LCM of 216,708,774 is 547992.

GCF of Denominators means GCF of 211,208,513 as per the given fractions.

GCF of 211,208,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,708,774

LCM of Fractions 216/211,708/208,774/513 is 547992

2 216, 708, 774
2 108, 354, 387
3 54, 177, 387
3 18, 59, 129
6, 59, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 6 x 59 x 43 = 547992

Least Common Multiple of 216,708,774 with GCF Formula

Least Common Multiple of 216,708,774 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 216,708,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,708,774) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(216,708,774) x common factors =6 x 36 = 216

LCM(216,708,774) = ( 216 × 708 × 774 ) / 216

LCM(216,708,774) = 118366272 / 216

LCM(216,708,774) = 547992


Lets's calculate GCF of 211,208,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 547992/1

Therefore the LCM of Fractions 216/211,708/208,774/513 is 547992

Greatest Common Factor of 211,208,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,208,513 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 211,208,513 . The biggest common factor number is the GCF number.
So the greatest common factor 211,208,513 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 216/211, 708/208, 774/513

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 216/211, 708/208, 774/513?

Answer: LCM of Numerators as per given numbers 216/211, 708/208, 774/513 is

LCM of Numerators i.e. for 216,708,774 is 547992

GCF of denominators i.e. for 211,208,513 is 1.

Thus, LCM of Fractions is 547992.Finally, LCM of Fractions for 216/211, 708/208, 774/513 is 547992.