Given numbers are 748,711,207,219,864

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

The LCM of 748,711,207,219,864 is 21430541088.

Find LCM of 748,711,207,219,864 with Prime Factorization

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

2 x 2 x 3 x 3 x 187 x 79 x 23 x 73 x 24 = 21430541088

Therefore, the lowest common multiple of 748,711,207,219,864 is 21430541088.

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.

748 x 711 x 207 x 219 x 864 = 20830485937536

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

711 : 1, 3, 9, 79, 237, 711

207 : 1, 3, 9, 23, 69, 207

219 : 1, 3, 73, 219

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,711,207,219,864, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

711:3x 3x 79

207:3x 3x 23

219:3x 73

864:2x 2x 2x 2x 2x 3x 3x 3

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 20830485937536/(1x972)

LCM = 20830485937536/972

LCM = 21430541088

Thus, we can understand that the LCM of 748,711,207,219,864 is 21430541088.

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

• LCM of 869, 391, 580, 391, 263
• LCM of 776, 553, 474, 528, 523
• LCM of 320, 751, 109, 227, 610
• LCM of 217, 897, 551, 935, 653
• LCM of 684, 743, 718, 600, 933

1. What is the LCM of 748, 711, 207, 219, 864?

Answer: LCM of 748, 711, 207, 219, 864 is 21430541088.

2. How to calculate the LCM of 748, 711, 207, 219, 864?

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 748, 711, 207, 219, 864.

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}.