Given numbers are 424,415,398,532

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

The LCM of 424,415,398,532 is 4657133320.

Find LCM of 424,415,398,532 with Prime Factorization

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

2 x 2 x 106 x 415 x 199 x 133 = 4657133320

Therefore, the lowest common multiple of 424,415,398,532 is 4657133320.

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.

424 x 415 x 398 x 532 = 37257066560

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

415 : 1, 5, 83, 415

398 : 1, 2, 199, 398

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,415,398,532, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

415:5x 83

398:2x 199

532:2x 2x 7x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 37257066560/(1x8)

LCM = 37257066560/8

LCM = 4657133320

Thus, we can understand that the LCM of 424,415,398,532 is 4657133320.

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

• LCM of 218, 555, 565, 765
• LCM of 992, 361, 138, 166
• LCM of 488, 125, 241, 438
• LCM of 617, 787, 996, 180
• LCM of 200, 606, 822, 177

1. What is the LCM of 424, 415, 398, 532?

Answer: LCM of 424, 415, 398, 532 is 4657133320.

2. How to calculate the LCM of 424, 415, 398, 532?

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 424, 415, 398, 532.

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}.