Given numbers are 402,578,305,745

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

The LCM of 402,578,305,745 is 5279709210.

Find LCM of 402,578,305,745 with Prime Factorization

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

2 x 5 x 201 x 289 x 61 x 149 = 5279709210

Therefore, the lowest common multiple of 402,578,305,745 is 5279709210.

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 578 x 305 x 745 = 52797092100

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

578 : 1, 2, 17, 34, 289, 578

305 : 1, 5, 61, 305

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,578,305,745, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

578:2x 17x 17

305:5x 61

745:5x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 52797092100/(1x10)

LCM = 52797092100/10

LCM = 5279709210

Thus, we can understand that the LCM of 402,578,305,745 is 5279709210.

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

• LCM of 653, 371, 444, 419
• LCM of 275, 275, 989, 557
• LCM of 678, 267, 537, 669
• LCM of 225, 237, 797, 833
• LCM of 846, 931, 420, 137

1. What is the LCM of 402, 578, 305, 745?

Answer: LCM of 402, 578, 305, 745 is 5279709210.

2. How to calculate the LCM of 402, 578, 305, 745?

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, 578, 305, 745.

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}.