Given numbers are 972,128,524,220

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

The LCM of 972,128,524,220 is 224104320.

Find LCM of 972,128,524,220 with Prime Factorization

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

2 x 2 x 243 x 32 x 131 x 55 = 224104320

Therefore, the lowest common multiple of 972,128,524,220 is 224104320.

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 128 x 524 x 220 = 14342676480

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

524 : 1, 2, 4, 131, 262, 524

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,128,524,220, is 4.

Now, the common factors can be found like this.

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

128:2x 2x 2x 2x 2x 2x 2

524:2x 2x 131

220:2x 2x 5x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14342676480/(4x16)

LCM = 14342676480/64

LCM = 224104320

Thus, we can understand that the LCM of 972,128,524,220 is 224104320.

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

• LCM of 680, 541, 274, 650
• LCM of 725, 723, 573, 253
• LCM of 944, 883, 305, 372
• LCM of 326, 845, 450, 704
• LCM of 237, 818, 583, 383

1. What is the LCM of 972, 128, 524, 220?

Answer: LCM of 972, 128, 524, 220 is 224104320.

2. How to calculate the LCM of 972, 128, 524, 220?

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, 128, 524, 220.

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}.