Given numbers are 402,588,854,948,420

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

The LCM of 402,588,854,948,420 is 949246620.

Find LCM of 402,588,854,948,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 67 x 7 x 61 x 79 x 5 = 949246620

Therefore, the lowest common multiple of 402,588,854,948,420 is 949246620.

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.

402 x 588 x 854 x 948 x 420 = 80374609808640

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

854 : 1, 2, 7, 14, 61, 122, 427, 854

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,588,854,948,420, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

588:2x 2x 3x 7x 7

854:2x 7x 61

948:2x 2x 3x 79

420:2x 2x 3x 5x 7

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 2x 3x 3x 3x 7x 7 = 42336

Therefore, the value for common factors is 42336.

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 = 80374609808640/(2x42336)

LCM = 80374609808640/84672

LCM = 949246620

Thus, we can understand that the LCM of 402,588,854,948,420 is 949246620.

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

• LCM of 282, 277, 462, 803, 321
• LCM of 103, 450, 167, 678, 132
• LCM of 936, 880, 166, 826, 271
• LCM of 103, 498, 156, 108, 616
• LCM of 657, 143, 289, 562, 560

1. What is the LCM of 402, 588, 854, 948, 420?

Answer: LCM of 402, 588, 854, 948, 420 is 949246620.

2. How to calculate the LCM of 402, 588, 854, 948, 420?

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 402, 588, 854, 948, 420.

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}.