Given numbers are 420,707,248,814,484

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

The LCM of 420,707,248,814,484 is 11774689080.

Find LCM of 420,707,248,814,484 with Prime Factorization

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

2 x 2 x 7 x 11 x 15 x 101 x 62 x 37 x 11 = 11774689080

Therefore, the lowest common multiple of 420,707,248,814,484 is 11774689080.

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.

420 x 707 x 248 x 814 x 484 = 29012833893120

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.

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

707 : 1, 7, 101, 707

248 : 1, 2, 4, 8, 31, 62, 124, 248

814 : 1, 2, 11, 22, 37, 74, 407, 814

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,707,248,814,484, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

707:7x 101

248:2x 2x 2x 31

814:2x 11x 37

484:2x 2x 11x 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 2x 7x 11 = 2464

Therefore, the value for common factors is 2464.

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 = 29012833893120/(1x2464)

LCM = 29012833893120/2464

LCM = 11774689080

Thus, we can understand that the LCM of 420,707,248,814,484 is 11774689080.

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

• LCM of 627, 842, 337, 357, 610
• LCM of 364, 943, 268, 968, 800
• LCM of 759, 751, 946, 969, 838
• LCM of 405, 178, 356, 674, 100
• LCM of 392, 778, 771, 299, 368

1. What is the LCM of 420, 707, 248, 814, 484?

Answer: LCM of 420, 707, 248, 814, 484 is 11774689080.

2. How to calculate the LCM of 420, 707, 248, 814, 484?

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 420, 707, 248, 814, 484.

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}.