Given numbers are 946,354,525,702,642

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

The LCM of 946,354,525,702,642 is 366836119650.

Find LCM of 946,354,525,702,642 with Prime Factorization

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

2 x 3 x 473 x 59 x 175 x 117 x 107 = 366836119650

Therefore, the lowest common multiple of 946,354,525,702,642 is 366836119650.

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.

946 x 354 x 525 x 702 x 642 = 79236601844400

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

354 : 1, 2, 3, 6, 59, 118, 177, 354

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,354,525,702,642, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

354:2x 3x 59

525:3x 5x 5x 7

702:2x 3x 3x 3x 13

642:2x 3x 107

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 79236601844400/(1x216)

LCM = 79236601844400/216

LCM = 366836119650

Thus, we can understand that the LCM of 946,354,525,702,642 is 366836119650.

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

• LCM of 497, 858, 873, 554, 503
• LCM of 230, 303, 187, 867, 769
• LCM of 437, 143, 789, 676, 851
• LCM of 226, 251, 577, 296, 255
• LCM of 283, 301, 847, 716, 875

1. What is the LCM of 946, 354, 525, 702, 642?

Answer: LCM of 946, 354, 525, 702, 642 is 366836119650.

2. How to calculate the LCM of 946, 354, 525, 702, 642?

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 946, 354, 525, 702, 642.

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}.