Given numbers are 420,716,535,874,214

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

The LCM of 420,716,535,874,214 is 3515341620.

Find LCM of 420,716,535,874,214 with Prime Factorization

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

2 x 2 x 5 x 107 x 21 x 179 x 1 x 437 x 1 = 3515341620

Therefore, the lowest common multiple of 420,716,535,874,214 is 3515341620.

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.

420 x 716 x 535 x 874 x 214 = 30091324267200

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

716 : 1, 2, 4, 179, 358, 716

535 : 1, 5, 107, 535

874 : 1, 2, 19, 23, 38, 46, 437, 874

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,716,535,874,214, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

716:2x 2x 179

535:5x 107

874:2x 19x 23

214:2x 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 2x 5x 107 = 8560

Therefore, the value for common factors is 8560.

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 = 30091324267200/(1x8560)

LCM = 30091324267200/8560

LCM = 3515341620

Thus, we can understand that the LCM of 420,716,535,874,214 is 3515341620.

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

• LCM of 934, 507, 305, 397, 183
• LCM of 975, 912, 207, 314, 881
• LCM of 857, 776, 262, 375, 657
• LCM of 243, 583, 211, 491, 237
• LCM of 641, 438, 980, 400, 450

1. What is the LCM of 420, 716, 535, 874, 214?

Answer: LCM of 420, 716, 535, 874, 214 is 3515341620.

2. How to calculate the LCM of 420, 716, 535, 874, 214?

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 420, 716, 535, 874, 214.

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}.