Given numbers are 988,618,577,154,414

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

The LCM of 988,618,577,154,414 is 935903460492.

Find LCM of 988,618,577,154,414 with Prime Factorization

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

2 x 3 x 494 x 103 x 577 x 77 x 69 = 935903460492

Therefore, the lowest common multiple of 988,618,577,154,414 is 935903460492.

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.

988 x 618 x 577 x 154 x 414 = 22461683051808

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

618 : 1, 2, 3, 6, 103, 206, 309, 618

577 : 1, 577

154 : 1, 2, 7, 11, 14, 22, 77, 154

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,618,577,154,414, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

618:2x 3x 103

577:577

154:2x 7x 11

414:2x 3x 3x 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 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 = 22461683051808/(1x24)

LCM = 22461683051808/24

LCM = 935903460492

Thus, we can understand that the LCM of 988,618,577,154,414 is 935903460492.

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

• LCM of 517, 192, 284, 347, 571
• LCM of 723, 985, 948, 373, 462
• LCM of 914, 944, 213, 651, 281
• LCM of 670, 271, 422, 888, 876
• LCM of 554, 687, 250, 851, 502

1. What is the LCM of 988, 618, 577, 154, 414?

Answer: LCM of 988, 618, 577, 154, 414 is 935903460492.

2. How to calculate the LCM of 988, 618, 577, 154, 414?

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 988, 618, 577, 154, 414.

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}.