Given numbers are 690,546,561,335,468

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

The LCM of 690,546,561,335,468 is 4720175460.

Find LCM of 690,546,561,335,468 with Prime Factorization

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

2 x 3 x 5 x 13 x 23 x 7 x 187 x 67 x 6 = 4720175460

Therefore, the lowest common multiple of 690,546,561,335,468 is 4720175460.

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 546 x 561 x 335 x 468 = 33135631729200

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

561 : 1, 3, 11, 17, 33, 51, 187, 561

335 : 1, 5, 67, 335

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,546,561,335,468, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

546:2x 3x 7x 13

561:3x 11x 17

335:5x 67

468:2x 2x 3x 3x 13

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 5x 13 = 7020

Therefore, the value for common factors is 7020.

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 = 33135631729200/(1x7020)

LCM = 33135631729200/7020

LCM = 4720175460

Thus, we can understand that the LCM of 690,546,561,335,468 is 4720175460.

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

• LCM of 855, 622, 458, 961, 849
• LCM of 498, 916, 608, 947, 380
• LCM of 756, 175, 188, 437, 546
• LCM of 874, 947, 625, 907, 450
• LCM of 376, 331, 864, 387, 872

1. What is the LCM of 690, 546, 561, 335, 468?

Answer: LCM of 690, 546, 561, 335, 468 is 4720175460.

2. How to calculate the LCM of 690, 546, 561, 335, 468?

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, 546, 561, 335, 468.

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}.