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LCM of 540, 272, 208, 308, 631

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


Find the LCM of 540, 272, 208, 308, 631 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 540, 272, 208, 308, 631. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,272,208,308,631

Given numbers are 540,272,208,308,631

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

The LCM of 540,272,208,308,631 is 23193490320.

Find LCM of 540,272,208,308,631 with Prime Factorization


2 540, 272, 208, 308, 631
2 270, 136, 104, 154, 631
2 135, 68, 52, 77, 631
2 135, 34, 26, 77, 631
135, 17, 13, 77, 631

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

2 x 2 x 2 x 2 x 135 x 17 x 13 x 77 x 631 = 23193490320

Therefore, the lowest common multiple of 540,272,208,308,631 is 23193490320.

LCM Formula to Find Lowest Common Multiple of 540,272,208,308,631

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.

540 x 272 x 208 x 308 x 631 = 5937533521920

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

631 : 1, 631

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,272,208,308,631, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

272:2x 2x 2x 2x 17

208:2x 2x 2x 2x 13

308:2x 2x 7x 11

631:631

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

2x 2x 2x 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 5937533521920/(1x256)

LCM = 5937533521920/256

LCM = 23193490320

Thus, we can understand that the LCM of 540,272,208,308,631 is 23193490320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 272, 208, 308, 631

1. What is the LCM of 540, 272, 208, 308, 631?

Answer: LCM of 540, 272, 208, 308, 631 is 23193490320.

2. How to calculate the LCM of 540, 272, 208, 308, 631?

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 540, 272, 208, 308, 631.

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}.