Given numbers are 624,402,556,426,840

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

The LCM of 624,402,556,426,840 is 14441110320.

Find LCM of 624,402,556,426,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 26 x 67 x 139 x 71 x 35 = 14441110320

Therefore, the lowest common multiple of 624,402,556,426,840 is 14441110320.

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.

624 x 402 x 556 x 426 x 840 = 49908477265920

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

402 : 1, 2, 3, 6, 67, 134, 201, 402

556 : 1, 2, 4, 139, 278, 556

426 : 1, 2, 3, 6, 71, 142, 213, 426

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,402,556,426,840, is 2.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

402:2x 3x 67

556:2x 2x 139

426:2x 3x 71

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 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 49908477265920/(2x1728)

LCM = 49908477265920/3456

LCM = 14441110320

Thus, we can understand that the LCM of 624,402,556,426,840 is 14441110320.

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

• LCM of 972, 632, 870, 630, 303
• LCM of 448, 161, 713, 770, 157
• LCM of 576, 399, 874, 274, 762
• LCM of 599, 901, 428, 591, 176
• LCM of 361, 974, 360, 524, 720

1. What is the LCM of 624, 402, 556, 426, 840?

Answer: LCM of 624, 402, 556, 426, 840 is 14441110320.

2. How to calculate the LCM of 624, 402, 556, 426, 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 624, 402, 556, 426, 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}.