Given numbers are 102,276,600,708

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

The LCM of 102,276,600,708 is 13841400.

Find LCM of 102,276,600,708 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 50 x 59 = 13841400

Therefore, the lowest common multiple of 102,276,600,708 is 13841400.

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.

102 x 276 x 600 x 708 = 11958969600

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.

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,276,600,708, is 6.

Now, the common factors can be found like this.

102:2x 3x 17

276:2x 2x 3x 23

600:2x 2x 2x 3x 5x 5

708:2x 2x 3x 59

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 3 = 144

Therefore, the value for common factors is 144.

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 = 11958969600/(6x144)

LCM = 11958969600/864

LCM = 13841400

Thus, we can understand that the LCM of 102,276,600,708 is 13841400.

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

• LCM of 874, 982, 573, 100
• LCM of 634, 929, 546, 630
• LCM of 217, 513, 691, 111
• LCM of 773, 739, 748, 364
• LCM of 328, 779, 733, 876

1. What is the LCM of 102, 276, 600, 708?

Answer: LCM of 102, 276, 600, 708 is 13841400.

2. How to calculate the LCM of 102, 276, 600, 708?

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 102, 276, 600, 708.

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}.