Given numbers are 596,546,984,420

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

The LCM of 596,546,984,420 is 66710280.

Find LCM of 596,546,984,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 149 x 13 x 82 x 5 = 66710280

Therefore, the lowest common multiple of 596,546,984,420 is 66710280.

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.

596 x 546 x 984 x 420 = 134487924480

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.

596 : 1, 2, 4, 149, 298, 596

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 596,546,984,420, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

546:2x 3x 7x 13

984:2x 2x 2x 3x 41

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 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 134487924480/(2x1008)

LCM = 134487924480/2016

LCM = 66710280

Thus, we can understand that the LCM of 596,546,984,420 is 66710280.

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

• LCM of 407, 865, 630, 340
• LCM of 251, 181, 231, 326
• LCM of 240, 492, 556, 237
• LCM of 782, 417, 385, 812
• LCM of 531, 172, 141, 530

1. What is the LCM of 596, 546, 984, 420?

Answer: LCM of 596, 546, 984, 420 is 66710280.

2. How to calculate the LCM of 596, 546, 984, 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 596, 546, 984, 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}.