Given numbers are 714,427,364,574,878

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

The LCM of 714,427,364,574,878 is 20382139596.

Find LCM of 714,427,364,574,878 with Prime Factorization

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

2 x 7 x 51 x 61 x 26 x 41 x 439 = 20382139596

Therefore, the lowest common multiple of 714,427,364,574,878 is 20382139596.

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.

714 x 427 x 364 x 574 x 878 = 55928591051424

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.

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

427 : 1, 7, 61, 427

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

574 : 1, 2, 7, 14, 41, 82, 287, 574

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,427,364,574,878, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

427:7x 61

364:2x 2x 7x 13

574:2x 7x 41

878:2x 439

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 7x 7x 7 = 2744

Therefore, the value for common factors is 2744.

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 = 55928591051424/(1x2744)

LCM = 55928591051424/2744

LCM = 20382139596

Thus, we can understand that the LCM of 714,427,364,574,878 is 20382139596.

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

• LCM of 612, 253, 885, 179, 169
• LCM of 432, 426, 488, 200, 914
• LCM of 805, 662, 828, 947, 680
• LCM of 560, 701, 993, 126, 146
• LCM of 646, 466, 458, 565, 661

1. What is the LCM of 714, 427, 364, 574, 878?

Answer: LCM of 714, 427, 364, 574, 878 is 20382139596.

2. How to calculate the LCM of 714, 427, 364, 574, 878?

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 714, 427, 364, 574, 878.

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}.