Given numbers are 972,968,177,314,815

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

The LCM of 972,968,177,314,815 is 1775787128280.

Find LCM of 972,968,177,314,815 with Prime Factorization

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

2 x 2 x 3 x 81 x 242 x 59 x 157 x 815 = 1775787128280

Therefore, the lowest common multiple of 972,968,177,314,815 is 1775787128280.

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 968 x 177 x 314 x 815 = 42618891078720

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

177 : 1, 3, 59, 177

314 : 1, 2, 157, 314

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,968,177,314,815, is 1.

Now, the common factors can be found like this.

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

968:2x 2x 2x 11x 11

177:3x 59

314:2x 157

815:5x 163

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 3 = 24

Therefore, the value for common factors is 24.

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 = 42618891078720/(1x24)

LCM = 42618891078720/24

LCM = 1775787128280

Thus, we can understand that the LCM of 972,968,177,314,815 is 1775787128280.

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

• LCM of 258, 677, 876, 989, 284
• LCM of 273, 922, 177, 643, 708
• LCM of 631, 820, 669, 229, 494
• LCM of 807, 257, 430, 792, 204
• LCM of 767, 203, 839, 920, 110

1. What is the LCM of 972, 968, 177, 314, 815?

Answer: LCM of 972, 968, 177, 314, 815 is 1775787128280.

2. How to calculate the LCM of 972, 968, 177, 314, 815?

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, 968, 177, 314, 815.

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}.