Given numbers are 146,248,286,922,657

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

The LCM of 146,248,286,922,657 is 10741229928.

Find LCM of 146,248,286,922,657 with Prime Factorization

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

2 x 73 x 1 x 124 x 143 x 461 x 9 = 10741229928

Therefore, the lowest common multiple of 146,248,286,922,657 is 10741229928.

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 248 x 286 x 922 x 657 = 6272878277952

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

286 : 1, 2, 11, 13, 22, 26, 143, 286

922 : 1, 2, 461, 922

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,248,286,922,657, is 1.

Now, the common factors can be found like this.

146:2x 73

248:2x 2x 2x 31

286:2x 11x 13

922:2x 461

657:3x 3x 73

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 73 = 584

Therefore, the value for common factors is 584.

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 = 6272878277952/(1x584)

LCM = 6272878277952/584

LCM = 10741229928

Thus, we can understand that the LCM of 146,248,286,922,657 is 10741229928.

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

• LCM of 267, 287, 777, 929, 718
• LCM of 465, 222, 349, 917, 904
• LCM of 317, 296, 559, 736, 564
• LCM of 364, 743, 175, 325, 304
• LCM of 973, 120, 877, 252, 128

1. What is the LCM of 146, 248, 286, 922, 657?

Answer: LCM of 146, 248, 286, 922, 657 is 10741229928.

2. How to calculate the LCM of 146, 248, 286, 922, 657?

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, 248, 286, 922, 657.

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}.