Given numbers are 972,346,554,128,262

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

The LCM of 972,346,554,128,262 is 195260056704.

Find LCM of 972,346,554,128,262 with Prime Factorization

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

2 x 2 x 243 x 173 x 277 x 32 x 131 = 195260056704

Therefore, the lowest common multiple of 972,346,554,128,262 is 195260056704.

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 346 x 554 x 128 x 262 = 6248321814528

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

346 : 1, 2, 173, 346

554 : 1, 2, 277, 554

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

262 : 1, 2, 131, 262

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,346,554,128,262, is 2.

Now, the common factors can be found like this.

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

346:2x 173

554:2x 277

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

262:2x 131

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 = 6248321814528/(2x16)

LCM = 6248321814528/32

LCM = 195260056704

Thus, we can understand that the LCM of 972,346,554,128,262 is 195260056704.

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

• LCM of 200, 833, 796, 598, 323
• LCM of 417, 682, 563, 421, 288
• LCM of 124, 699, 265, 696, 581
• LCM of 588, 679, 650, 515, 722
• LCM of 499, 937, 758, 480, 372

1. What is the LCM of 972, 346, 554, 128, 262?

Answer: LCM of 972, 346, 554, 128, 262 is 195260056704.

2. How to calculate the LCM of 972, 346, 554, 128, 262?

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, 346, 554, 128, 262.

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}.