Given numbers are 708,102,822,340,136

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

The LCM of 708,102,822,340,136 is 16489320.

Find LCM of 708,102,822,340,136 with Prime Factorization

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

2 x 2 x 3 x 17 x 59 x 1 x 137 x 5 x 2 = 16489320

Therefore, the lowest common multiple of 708,102,822,340,136 is 16489320.

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.

708 x 102 x 822 x 340 x 136 = 2744878164480

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,102,822,340,136, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

102:2x 3x 17

822:2x 3x 137

340:2x 2x 5x 17

136:2x 2x 2x 17

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 3x 3x 17x 17 = 83232

Therefore, the value for common factors is 83232.

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 = 2744878164480/(2x83232)

LCM = 2744878164480/166464

LCM = 16489320

Thus, we can understand that the LCM of 708,102,822,340,136 is 16489320.

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

• LCM of 982, 723, 527, 904, 847
• LCM of 590, 790, 395, 752, 761
• LCM of 292, 795, 978, 910, 231
• LCM of 586, 175, 785, 744, 382
• LCM of 737, 670, 868, 843, 261

1. What is the LCM of 708, 102, 822, 340, 136?

Answer: LCM of 708, 102, 822, 340, 136 is 16489320.

2. How to calculate the LCM of 708, 102, 822, 340, 136?

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 708, 102, 822, 340, 136.

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}.