Given numbers are 602,224,596,420

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

The LCM of 602,224,596,420 is 21527520.

Find LCM of 602,224,596,420 with Prime Factorization

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

2 x 2 x 7 x 43 x 8 x 149 x 15 = 21527520

Therefore, the lowest common multiple of 602,224,596,420 is 21527520.

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.

602 x 224 x 596 x 420 = 33755151360

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.

602 : 1, 2, 7, 14, 43, 86, 301, 602

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

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 602,224,596,420, is 2.

Now, the common factors can be found like this.

602:2x 7x 43

224:2x 2x 2x 2x 2x 7

596:2x 2x 149

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 33755151360/(2x784)

LCM = 33755151360/1568

LCM = 21527520

Thus, we can understand that the LCM of 602,224,596,420 is 21527520.

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

• LCM of 459, 533, 860, 868
• LCM of 189, 387, 468, 607
• LCM of 115, 992, 227, 479
• LCM of 998, 704, 496, 984
• LCM of 422, 176, 147, 758

1. What is the LCM of 602, 224, 596, 420?

Answer: LCM of 602, 224, 596, 420 is 21527520.

2. How to calculate the LCM of 602, 224, 596, 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 602, 224, 596, 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}.