Given numbers are 864,731,174,638,203

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

The LCM of 864,731,174,638,203 is 1410327072.

Find LCM of 864,731,174,638,203 with Prime Factorization

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

2 x 3 x 29 x 144 x 731 x 1 x 11 x 7 = 1410327072

Therefore, the lowest common multiple of 864,731,174,638,203 is 1410327072.

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.

864 x 731 x 174 x 638 x 203 = 14233020810624

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.

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

731 : 1, 17, 43, 731

174 : 1, 2, 3, 6, 29, 58, 87, 174

638 : 1, 2, 11, 22, 29, 58, 319, 638

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,731,174,638,203, is 1.

Now, the common factors can be found like this.

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

731:17x 43

174:2x 3x 29

638:2x 11x 29

203:7x 29

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 29x 29 = 10092

Therefore, the value for common factors is 10092.

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 = 14233020810624/(1x10092)

LCM = 14233020810624/10092

LCM = 1410327072

Thus, we can understand that the LCM of 864,731,174,638,203 is 1410327072.

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

• LCM of 972, 630, 245, 953, 377
• LCM of 134, 564, 822, 413, 192
• LCM of 919, 641, 602, 270, 641
• LCM of 286, 200, 728, 602, 359
• LCM of 724, 786, 961, 280, 684

1. What is the LCM of 864, 731, 174, 638, 203?

Answer: LCM of 864, 731, 174, 638, 203 is 1410327072.

2. How to calculate the LCM of 864, 731, 174, 638, 203?

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 864, 731, 174, 638, 203.

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}.