Given numbers are 146,278,461,372,406

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

The LCM of 146,278,461,372,406 is 353246252772.

Find LCM of 146,278,461,372,406 with Prime Factorization

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

2 x 73 x 139 x 461 x 186 x 203 = 353246252772

Therefore, the lowest common multiple of 146,278,461,372,406 is 353246252772.

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.

146 x 278 x 461 x 372 x 406 = 2825970022176

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.

146 : 1, 2, 73, 146

278 : 1, 2, 139, 278

461 : 1, 461

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,278,461,372,406, is 1.

Now, the common factors can be found like this.

146:2x 73

278:2x 139

461:461

372:2x 2x 3x 31

406:2x 7x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2825970022176/(1x8)

LCM = 2825970022176/8

LCM = 353246252772

Thus, we can understand that the LCM of 146,278,461,372,406 is 353246252772.

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

• LCM of 642, 194, 574, 897, 863
• LCM of 569, 260, 651, 606, 509
• LCM of 126, 225, 580, 863, 354
• LCM of 704, 552, 613, 970, 297
• LCM of 911, 662, 619, 851, 997

1. What is the LCM of 146, 278, 461, 372, 406?

Answer: LCM of 146, 278, 461, 372, 406 is 353246252772.

2. How to calculate the LCM of 146, 278, 461, 372, 406?

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 146, 278, 461, 372, 406.

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}.