Given numbers are 562,314,726,470,402

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

The LCM of 562,314,726,470,402 is 504295691790.

Find LCM of 562,314,726,470,402 with Prime Factorization

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

2 x 3 x 281 x 157 x 121 x 235 x 67 = 504295691790

Therefore, the lowest common multiple of 562,314,726,470,402 is 504295691790.

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.

562 x 314 x 726 x 470 x 402 = 24206193205920

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.

562 : 1, 2, 281, 562

314 : 1, 2, 157, 314

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,314,726,470,402, is 2.

Now, the common factors can be found like this.

562:2x 281

314:2x 157

726:2x 3x 11x 11

470:2x 5x 47

402:2x 3x 67

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 3 = 24

Therefore, the value for common factors is 24.

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 = 24206193205920/(2x24)

LCM = 24206193205920/48

LCM = 504295691790

Thus, we can understand that the LCM of 562,314,726,470,402 is 504295691790.

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

• LCM of 602, 303, 994, 883, 605
• LCM of 364, 783, 687, 366, 507
• LCM of 121, 976, 318, 999, 612
• LCM of 788, 300, 418, 169, 636
• LCM of 487, 147, 280, 650, 532

1. What is the LCM of 562, 314, 726, 470, 402?

Answer: LCM of 562, 314, 726, 470, 402 is 504295691790.

2. How to calculate the LCM of 562, 314, 726, 470, 402?

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 562, 314, 726, 470, 402.

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}.