Given numbers are 142,163,936,506,822

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

The LCM of 142,163,936,506,822 is 375459320808.

Find LCM of 142,163,936,506,822 with Prime Factorization

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

2 x 3 x 71 x 163 x 156 x 253 x 137 = 375459320808

Therefore, the lowest common multiple of 142,163,936,506,822 is 375459320808.

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.

142 x 163 x 936 x 506 x 822 = 9011023699392

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.

142 : 1, 2, 71, 142

163 : 1, 163

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

506 : 1, 2, 11, 22, 23, 46, 253, 506

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,163,936,506,822, is 1.

Now, the common factors can be found like this.

142:2x 71

163:163

936:2x 2x 2x 3x 3x 13

506:2x 11x 23

822:2x 3x 137

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9011023699392/(1x24)

LCM = 9011023699392/24

LCM = 375459320808

Thus, we can understand that the LCM of 142,163,936,506,822 is 375459320808.

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

• LCM of 175, 652, 901, 492, 549
• LCM of 679, 412, 573, 745, 512
• LCM of 839, 815, 861, 900, 780
• LCM of 981, 254, 747, 488, 507
• LCM of 633, 305, 637, 154, 662

1. What is the LCM of 142, 163, 936, 506, 822?

Answer: LCM of 142, 163, 936, 506, 822 is 375459320808.

2. How to calculate the LCM of 142, 163, 936, 506, 822?

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 142, 163, 936, 506, 822.

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}.