Given numbers are 515,978,972,517,697

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

The LCM of 515,978,972,517,697 is 29402510894460.

Find LCM of 515,978,972,517,697 with Prime Factorization

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

2 x 3 x 515 x 163 x 162 x 517 x 697 = 29402510894460

Therefore, the lowest common multiple of 515,978,972,517,697 is 29402510894460.

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.

515 x 978 x 972 x 517 x 697 = 176415065366760

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.

515 : 1, 5, 103, 515

978 : 1, 2, 3, 6, 163, 326, 489, 978

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

517 : 1, 11, 47, 517

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,978,972,517,697, is 1.

Now, the common factors can be found like this.

515:5x 103

978:2x 3x 163

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

517:11x 47

697:17x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 176415065366760/(1x6)

LCM = 176415065366760/6

LCM = 29402510894460

Thus, we can understand that the LCM of 515,978,972,517,697 is 29402510894460.

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

• LCM of 636, 682, 144, 483, 511
• LCM of 645, 983, 600, 414, 502
• LCM of 361, 342, 444, 143, 809
• LCM of 570, 300, 736, 524, 988
• LCM of 199, 341, 753, 796, 207

1. What is the LCM of 515, 978, 972, 517, 697?

Answer: LCM of 515, 978, 972, 517, 697 is 29402510894460.

2. How to calculate the LCM of 515, 978, 972, 517, 697?

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 515, 978, 972, 517, 697.

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}.