Given numbers are 402,586,858,714,684

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

The LCM of 402,586,858,714,684 is 228497537268.

Find LCM of 402,586,858,714,684 with Prime Factorization

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

2 x 3 x 67 x 293 x 143 x 119 x 114 = 228497537268

Therefore, the lowest common multiple of 402,586,858,714,684 is 228497537268.

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.

402 x 586 x 858 x 714 x 684 = 98710936099776

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

586 : 1, 2, 293, 586

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,586,858,714,684, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

586:2x 293

858:2x 3x 11x 13

714:2x 3x 7x 17

684:2x 2x 3x 3x 19

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 = 98710936099776/(2x216)

LCM = 98710936099776/432

LCM = 228497537268

Thus, we can understand that the LCM of 402,586,858,714,684 is 228497537268.

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

• LCM of 254, 874, 367, 151, 647
• LCM of 377, 832, 867, 114, 955
• LCM of 216, 849, 486, 246, 813
• LCM of 585, 911, 595, 387, 195
• LCM of 519, 529, 773, 461, 620

1. What is the LCM of 402, 586, 858, 714, 684?

Answer: LCM of 402, 586, 858, 714, 684 is 228497537268.

2. How to calculate the LCM of 402, 586, 858, 714, 684?

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 402, 586, 858, 714, 684.

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}.