Given numbers are 264,173,755,375,972

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

The LCM of 264,173,755,375,972 is 69826779000.

Find LCM of 264,173,755,375,972 with Prime Factorization

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

2 x 2 x 3 x 5 x 22 x 173 x 151 x 25 x 81 = 69826779000

Therefore, the lowest common multiple of 264,173,755,375,972 is 69826779000.

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.

264 x 173 x 755 x 375 x 972 = 12568820220000

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

173 : 1, 173

755 : 1, 5, 151, 755

375 : 1, 3, 5, 15, 25, 75, 125, 375

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 264,173,755,375,972, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

173:173

755:5x 151

375:3x 5x 5x 5

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 12568820220000/(1x180)

LCM = 12568820220000/180

LCM = 69826779000

Thus, we can understand that the LCM of 264,173,755,375,972 is 69826779000.

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

• LCM of 866, 409, 952, 253, 527
• LCM of 647, 248, 272, 652, 800
• LCM of 133, 880, 693, 630, 995
• LCM of 902, 132, 878, 507, 558
• LCM of 946, 184, 418, 838, 725

1. What is the LCM of 264, 173, 755, 375, 972?

Answer: LCM of 264, 173, 755, 375, 972 is 69826779000.

2. How to calculate the LCM of 264, 173, 755, 375, 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 264, 173, 755, 375, 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}.