Given numbers are 420,503,702,993

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

The LCM of 420,503,702,993 is 8181466020.

Find LCM of 420,503,702,993 with Prime Factorization

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

2 x 3 x 70 x 503 x 117 x 331 = 8181466020

Therefore, the lowest common multiple of 420,503,702,993 is 8181466020.

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 503 x 702 x 993 = 147266388360

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

503 : 1, 503

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,503,702,993, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

503:503

702:2x 3x 3x 3x 13

993:3x 331

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 147266388360/(1x18)

LCM = 147266388360/18

LCM = 8181466020

Thus, we can understand that the LCM of 420,503,702,993 is 8181466020.

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

• LCM of 395, 356, 906, 388
• LCM of 448, 119, 330, 801
• LCM of 607, 688, 936, 559
• LCM of 766, 494, 865, 155
• LCM of 442, 710, 619, 178

1. What is the LCM of 420, 503, 702, 993?

Answer: LCM of 420, 503, 702, 993 is 8181466020.

2. How to calculate the LCM of 420, 503, 702, 993?

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, 503, 702, 993.

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}.