Given numbers are 420,299,524,461

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

The LCM of 420,299,524,461 is 7583901780.

Find LCM of 420,299,524,461 with Prime Factorization

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

2 x 2 x 105 x 299 x 131 x 461 = 7583901780

Therefore, the lowest common multiple of 420,299,524,461 is 7583901780.

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 299 x 524 x 461 = 30335607120

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

299 : 1, 13, 23, 299

524 : 1, 2, 4, 131, 262, 524

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,299,524,461, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

299:13x 23

524:2x 2x 131

461:461

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30335607120/(1x4)

LCM = 30335607120/4

LCM = 7583901780

Thus, we can understand that the LCM of 420,299,524,461 is 7583901780.

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

• LCM of 197, 833, 344, 999
• LCM of 814, 503, 481, 122
• LCM of 115, 341, 632, 140
• LCM of 151, 105, 301, 697
• LCM of 382, 504, 579, 912

1. What is the LCM of 420, 299, 524, 461?

Answer: LCM of 420, 299, 524, 461 is 7583901780.

2. How to calculate the LCM of 420, 299, 524, 461?

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, 299, 524, 461.

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}.