Given numbers are 369,540,420,366,487

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

The LCM of 369,540,420,366,487 is 4603990860.

Find LCM of 369,540,420,366,487 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 41 x 3 x 7 x 61 x 487 = 4603990860

Therefore, the lowest common multiple of 369,540,420,366,487 is 4603990860.

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.

369 x 540 x 420 x 366 x 487 = 14916930386400

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.

369 : 1, 3, 9, 41, 123, 369

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

366 : 1, 2, 3, 6, 61, 122, 183, 366

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,540,420,366,487, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

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

420:2x 2x 3x 5x 7

366:2x 3x 61

487:487

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 3x 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 14916930386400/(1x3240)

LCM = 14916930386400/3240

LCM = 4603990860

Thus, we can understand that the LCM of 369,540,420,366,487 is 4603990860.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 703, 245, 442, 196, 282
• LCM of 419, 438, 291, 124, 914
• LCM of 622, 336, 238, 141, 364
• LCM of 237, 915, 289, 255, 819
• LCM of 604, 248, 240, 945, 527

1. What is the LCM of 369, 540, 420, 366, 487?

Answer: LCM of 369, 540, 420, 366, 487 is 4603990860.

2. How to calculate the LCM of 369, 540, 420, 366, 487?

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 369, 540, 420, 366, 487.

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}.