Given numbers are 690,405,624,541,630

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

The LCM of 690,405,624,541,630 is 7337388240.

Find LCM of 690,405,624,541,630 with Prime Factorization

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

2 x 3 x 3 x 5 x 23 x 9 x 104 x 541 x 7 = 7337388240

Therefore, the lowest common multiple of 690,405,624,541,630 is 7337388240.

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.

690 x 405 x 624 x 541 x 630 = 59432844744000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

541 : 1, 541

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,405,624,541,630, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

405:3x 3x 3x 3x 5

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

541:541

630:2x 3x 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 3x 3x 3x 3x 5x 5 = 8100

Therefore, the value for common factors is 8100.

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 = 59432844744000/(1x8100)

LCM = 59432844744000/8100

LCM = 7337388240

Thus, we can understand that the LCM of 690,405,624,541,630 is 7337388240.

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

• LCM of 874, 938, 717, 428, 652
• LCM of 891, 480, 825, 776, 391
• LCM of 438, 297, 958, 550, 731
• LCM of 500, 100, 450, 642, 174
• LCM of 541, 729, 223, 947, 428

1. What is the LCM of 690, 405, 624, 541, 630?

Answer: LCM of 690, 405, 624, 541, 630 is 7337388240.

2. How to calculate the LCM of 690, 405, 624, 541, 630?

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 690, 405, 624, 541, 630.

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}.