Given numbers are 547,624,121,320,692

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

The LCM of 547,624,121,320,692 is 142900380480.

Find LCM of 547,624,121,320,692 with Prime Factorization

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

2 x 2 x 2 x 2 x 547 x 39 x 121 x 20 x 173 = 142900380480

Therefore, the lowest common multiple of 547,624,121,320,692 is 142900380480.

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.

547 x 624 x 121 x 320 x 692 = 9145624350720

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.

547 : 1, 547

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

121 : 1, 11, 121

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,624,121,320,692, is 1.

Now, the common factors can be found like this.

547:547

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

121:11x 11

320:2x 2x 2x 2x 2x 2x 5

692:2x 2x 173

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 9145624350720/(1x64)

LCM = 9145624350720/64

LCM = 142900380480

Thus, we can understand that the LCM of 547,624,121,320,692 is 142900380480.

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

• LCM of 609, 710, 482, 570, 273
• LCM of 477, 811, 328, 200, 502
• LCM of 573, 420, 764, 169, 216
• LCM of 546, 749, 876, 969, 985
• LCM of 865, 570, 779, 853, 225

1. What is the LCM of 547, 624, 121, 320, 692?

Answer: LCM of 547, 624, 121, 320, 692 is 142900380480.

2. How to calculate the LCM of 547, 624, 121, 320, 692?

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 547, 624, 121, 320, 692.

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}.