Given numbers are 546,648,523,291,972

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

The LCM of 546,648,523,291,972 is 8974516824.

Find LCM of 546,648,523,291,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 3 x 91 x 2 x 523 x 97 x 3 = 8974516824

Therefore, the lowest common multiple of 546,648,523,291,972 is 8974516824.

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.

546 x 648 x 523 x 291 x 972 = 52339382117568

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

523 : 1, 523

291 : 1, 3, 97, 291

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,648,523,291,972, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

648:2x 2x 2x 3x 3x 3x 3

523:523

291:3x 97

972:2x 2x 3x 3x 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 2x 3x 3x 3x 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 52339382117568/(1x5832)

LCM = 52339382117568/5832

LCM = 8974516824

Thus, we can understand that the LCM of 546,648,523,291,972 is 8974516824.

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

• LCM of 909, 149, 163, 201, 493
• LCM of 602, 820, 722, 246, 411
• LCM of 130, 411, 909, 210, 774
• LCM of 940, 296, 230, 366, 234
• LCM of 680, 234, 948, 326, 589

1. What is the LCM of 546, 648, 523, 291, 972?

Answer: LCM of 546, 648, 523, 291, 972 is 8974516824.

2. How to calculate the LCM of 546, 648, 523, 291, 972?

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 546, 648, 523, 291, 972.

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}.