Given numbers are 870,624,970,414,322

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

The LCM of 870,624,970,414,322 is 4239078480.

Find LCM of 870,624,970,414,322 with Prime Factorization

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

2 x 3 x 5 x 23 x 29 x 104 x 97 x 3 x 7 = 4239078480

Therefore, the lowest common multiple of 870,624,970,414,322 is 4239078480.

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.

870 x 624 x 970 x 414 x 322 = 70199139628800

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

322 : 1, 2, 7, 14, 23, 46, 161, 322

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,624,970,414,322, is 2.

Now, the common factors can be found like this.

870:2x 3x 5x 29

624:2x 2x 2x 2x 3x 13

970:2x 5x 97

414:2x 3x 3x 23

322:2x 7x 23

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 5x 23 = 8280

Therefore, the value for common factors is 8280.

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 = 70199139628800/(2x8280)

LCM = 70199139628800/16560

LCM = 4239078480

Thus, we can understand that the LCM of 870,624,970,414,322 is 4239078480.

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

• LCM of 647, 632, 682, 602, 151
• LCM of 249, 959, 105, 527, 674
• LCM of 393, 731, 182, 766, 258
• LCM of 127, 492, 960, 998, 153
• LCM of 583, 335, 503, 331, 791

1. What is the LCM of 870, 624, 970, 414, 322?

Answer: LCM of 870, 624, 970, 414, 322 is 4239078480.

2. How to calculate the LCM of 870, 624, 970, 414, 322?

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 870, 624, 970, 414, 322.

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}.