Given numbers are 461,486,624,552

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

The LCM of 461,486,624,552 is 535918032.

Find LCM of 461,486,624,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 461 x 81 x 26 x 23 = 535918032

Therefore, the lowest common multiple of 461,486,624,552 is 535918032.

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.

461 x 486 x 624 x 552 = 77172196608

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.

461 : 1, 461

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,486,624,552, is 1.

Now, the common factors can be found like this.

461:461

486:2x 3x 3x 3x 3x 3

624:2x 2x 2x 2x 3x 13

552:2x 2x 2x 3x 23

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 3 = 144

Therefore, the value for common factors is 144.

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 = 77172196608/(1x144)

LCM = 77172196608/144

LCM = 535918032

Thus, we can understand that the LCM of 461,486,624,552 is 535918032.

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

• LCM of 758, 925, 492, 612
• LCM of 654, 587, 106, 609
• LCM of 395, 798, 816, 904
• LCM of 412, 773, 525, 420
• LCM of 697, 986, 419, 228

1. What is the LCM of 461, 486, 624, 552?

Answer: LCM of 461, 486, 624, 552 is 535918032.

2. How to calculate the LCM of 461, 486, 624, 552?

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 461, 486, 624, 552.

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}.