Given numbers are 972,370,138,258,726

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

The LCM of 972,370,138,258,726 is 21518879580.

Find LCM of 972,370,138,258,726 with Prime Factorization

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

2 x 3 x 162 x 185 x 23 x 43 x 121 = 21518879580

Therefore, the lowest common multiple of 972,370,138,258,726 is 21518879580.

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 370 x 138 x 258 x 726 = 9296155978560

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

138 : 1, 2, 3, 6, 23, 46, 69, 138

258 : 1, 2, 3, 6, 43, 86, 129, 258

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,370,138,258,726, is 2.

Now, the common factors can be found like this.

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

370:2x 5x 37

138:2x 3x 23

258:2x 3x 43

726:2x 3x 11x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 9296155978560/(2x216)

LCM = 9296155978560/432

LCM = 21518879580

Thus, we can understand that the LCM of 972,370,138,258,726 is 21518879580.

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

• LCM of 931, 592, 290, 750, 349
• LCM of 546, 416, 780, 411, 348
• LCM of 648, 527, 307, 228, 714
• LCM of 630, 661, 113, 754, 880
• LCM of 593, 333, 926, 204, 680

1. What is the LCM of 972, 370, 138, 258, 726?

Answer: LCM of 972, 370, 138, 258, 726 is 21518879580.

2. How to calculate the LCM of 972, 370, 138, 258, 726?

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, 370, 138, 258, 726.

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}.