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LCM of 331, 652, 419, 516, 229

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 331, 652, 419, 516, 229 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 331, 652, 419, 516, 229. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,652,419,516,229

Given numbers are 331,652,419,516,229

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 331,652,419,516,229 is 2671251660348.

Find LCM of 331,652,419,516,229 with Prime Factorization


2 331, 652, 419, 516, 229
2 331, 326, 419, 258, 229
331, 163, 419, 129, 229

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 331 x 163 x 419 x 129 x 229 = 2671251660348

Therefore, the lowest common multiple of 331,652,419,516,229 is 2671251660348.

LCM Formula to Find Lowest Common Multiple of 331,652,419,516,229

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

331 x 652 x 419 x 516 x 229 = 10685006641392

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

331 : 1, 331

652 : 1, 2, 4, 163, 326, 652

419 : 1, 419

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,652,419,516,229, is 1.

Now, the common factors can be found like this.

331:331

652:2x 2x 163

419:419

516:2x 2x 3x 43

229:229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10685006641392/(1x4)

LCM = 10685006641392/4

LCM = 2671251660348

Thus, we can understand that the LCM of 331,652,419,516,229 is 2671251660348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 652, 419, 516, 229

1. What is the LCM of 331, 652, 419, 516, 229?

Answer: LCM of 331, 652, 419, 516, 229 is 2671251660348.

2. How to calculate the LCM of 331, 652, 419, 516, 229?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 331, 652, 419, 516, 229.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.