Given numbers are 972,867,723,633,541

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

The LCM of 972,867,723,633,541 is 7727888915028.

Find LCM of 972,867,723,633,541 with Prime Factorization

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

3 x 324 x 289 x 241 x 211 x 541 = 7727888915028

Therefore, the lowest common multiple of 972,867,723,633,541 is 7727888915028.

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.

972 x 867 x 723 x 633 x 541 = 208653000705756

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

867 : 1, 3, 17, 51, 289, 867

723 : 1, 3, 241, 723

633 : 1, 3, 211, 633

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,867,723,633,541, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

867:3x 17x 17

723:3x 241

633:3x 211

541:541

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 208653000705756/(1x27)

LCM = 208653000705756/27

LCM = 7727888915028

Thus, we can understand that the LCM of 972,867,723,633,541 is 7727888915028.

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

• LCM of 358, 194, 671, 109, 783
• LCM of 485, 528, 150, 831, 784
• LCM of 612, 904, 399, 793, 916
• LCM of 819, 578, 332, 617, 747
• LCM of 133, 288, 418, 602, 783

1. What is the LCM of 972, 867, 723, 633, 541?

Answer: LCM of 972, 867, 723, 633, 541 is 7727888915028.

2. How to calculate the LCM of 972, 867, 723, 633, 541?

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 972, 867, 723, 633, 541.

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}.