Given numbers are 631,416,369,378,840

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

The LCM of 631,416,369,378,840 is 10170407520.

Find LCM of 631,416,369,378,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 631 x 52 x 41 x 3 x 5 = 10170407520

Therefore, the lowest common multiple of 631,416,369,378,840 is 10170407520.

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.

631 x 416 x 369 x 378 x 840 = 30755312340480

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.

631 : 1, 631

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,416,369,378,840, is 1.

Now, the common factors can be found like this.

631:631

416:2x 2x 2x 2x 2x 13

369:3x 3x 41

378:2x 3x 3x 3x 7

840:2x 2x 2x 3x 5x 7

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 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 30755312340480/(1x3024)

LCM = 30755312340480/3024

LCM = 10170407520

Thus, we can understand that the LCM of 631,416,369,378,840 is 10170407520.

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

• LCM of 191, 355, 511, 325, 948
• LCM of 960, 270, 729, 338, 303
• LCM of 259, 970, 192, 834, 924
• LCM of 301, 513, 487, 763, 345
• LCM of 771, 594, 603, 420, 232

1. What is the LCM of 631, 416, 369, 378, 840?

Answer: LCM of 631, 416, 369, 378, 840 is 10170407520.

2. How to calculate the LCM of 631, 416, 369, 378, 840?

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 631, 416, 369, 378, 840.

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}.