Given numbers are 368,501,714,102,920

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

The LCM of 368,501,714,102,920 is 109698960.

Find LCM of 368,501,714,102,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 23 x 2 x 167 x 7 x 1 x 5 = 109698960

Therefore, the lowest common multiple of 368,501,714,102,920 is 109698960.

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.

368 x 501 x 714 x 102 x 920 = 12352980487680

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

501 : 1, 3, 167, 501

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

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,501,714,102,920, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

501:3x 167

714:2x 3x 7x 17

102:2x 3x 17

920:2x 2x 2x 5x 23

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 23 = 112608

Therefore, the value for common factors is 112608.

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 = 12352980487680/(1x112608)

LCM = 12352980487680/112608

LCM = 109698960

Thus, we can understand that the LCM of 368,501,714,102,920 is 109698960.

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

• LCM of 903, 843, 111, 179, 910
• LCM of 675, 588, 423, 354, 873
• LCM of 470, 641, 163, 759, 732
• LCM of 110, 682, 615, 215, 513
• LCM of 969, 758, 312, 695, 401

1. What is the LCM of 368, 501, 714, 102, 920?

Answer: LCM of 368, 501, 714, 102, 920 is 109698960.

2. How to calculate the LCM of 368, 501, 714, 102, 920?

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 368, 501, 714, 102, 920.

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}.