Given numbers are 390,362,278,746

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

The LCM of 390,362,278,746 is 3659879730.

Find LCM of 390,362,278,746 with Prime Factorization

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

2 x 195 x 181 x 139 x 373 = 3659879730

Therefore, the lowest common multiple of 390,362,278,746 is 3659879730.

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.

390 x 362 x 278 x 746 = 29279037840

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

362 : 1, 2, 181, 362

278 : 1, 2, 139, 278

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,362,278,746, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

362:2x 181

278:2x 139

746:2x 373

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29279037840/(2x4)

LCM = 29279037840/8

LCM = 3659879730

Thus, we can understand that the LCM of 390,362,278,746 is 3659879730.

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

• LCM of 117, 920, 154, 834
• LCM of 101, 699, 125, 637
• LCM of 415, 469, 254, 318
• LCM of 513, 725, 433, 168
• LCM of 580, 830, 780, 663

1. What is the LCM of 390, 362, 278, 746?

Answer: LCM of 390, 362, 278, 746 is 3659879730.

2. How to calculate the LCM of 390, 362, 278, 746?

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 390, 362, 278, 746.

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}.