Given numbers are 840,970,485,515,352

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

The LCM of 840,970,485,515,352 is 369267360.

Find LCM of 840,970,485,515,352 with Prime Factorization

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

2 x 2 x 2 x 5 x 97 x 21 x 1 x 1 x 103 x 44 = 369267360

Therefore, the lowest common multiple of 840,970,485,515,352 is 369267360.

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.

840 x 970 x 485 x 515 x 352 = 71637867840000

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

970 : 1, 2, 5, 10, 97, 194, 485, 970

485 : 1, 5, 97, 485

515 : 1, 5, 103, 515

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,970,485,515,352, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

970:2x 5x 97

485:5x 97

515:5x 103

352:2x 2x 2x 2x 2x 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 2x 5x 5x 5x 97 = 194000

Therefore, the value for common factors is 194000.

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 = 71637867840000/(1x194000)

LCM = 71637867840000/194000

LCM = 369267360

Thus, we can understand that the LCM of 840,970,485,515,352 is 369267360.

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

• LCM of 615, 288, 728, 132, 799
• LCM of 766, 787, 991, 119, 485
• LCM of 722, 246, 452, 379, 978
• LCM of 400, 248, 424, 486, 336
• LCM of 138, 601, 957, 920, 181

1. What is the LCM of 840, 970, 485, 515, 352?

Answer: LCM of 840, 970, 485, 515, 352 is 369267360.

2. How to calculate the LCM of 840, 970, 485, 515, 352?

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 840, 970, 485, 515, 352.

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}.