Given numbers are 620,642,714,816

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

The LCM of 620,642,714,816 is 94733520.

Find LCM of 620,642,714,816 with Prime Factorization

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

2 x 2 x 3 x 17 x 155 x 107 x 7 x 4 = 94733520

Therefore, the lowest common multiple of 620,642,714,816 is 94733520.

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.

620 x 642 x 714 x 816 = 231907656960

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

642 : 1, 2, 3, 6, 107, 214, 321, 642

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,642,714,816, is 2.

Now, the common factors can be found like this.

620:2x 2x 5x 31

642:2x 3x 107

714:2x 3x 7x 17

816:2x 2x 2x 2x 3x 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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 231907656960/(2x1224)

LCM = 231907656960/2448

LCM = 94733520

Thus, we can understand that the LCM of 620,642,714,816 is 94733520.

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

• LCM of 690, 278, 780, 426
• LCM of 789, 910, 106, 600
• LCM of 475, 926, 326, 437
• LCM of 225, 295, 979, 623
• LCM of 325, 253, 178, 776

1. What is the LCM of 620, 642, 714, 816?

Answer: LCM of 620, 642, 714, 816 is 94733520.

2. How to calculate the LCM of 620, 642, 714, 816?

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 620, 642, 714, 816.

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}.