Given numbers are 257,365,146,648

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

The LCM of 257,365,146,648 is 60785640.

Find LCM of 257,365,146,648 with Prime Factorization

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

2 x 73 x 257 x 5 x 1 x 324 = 60785640

Therefore, the lowest common multiple of 257,365,146,648 is 60785640.

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.

257 x 365 x 146 x 648 = 8874703440

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.

257 : 1, 257

365 : 1, 5, 73, 365

146 : 1, 2, 73, 146

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,365,146,648, is 1.

Now, the common factors can be found like this.

257:257

365:5x 73

146:2x 73

648:2x 2x 2x 3x 3x 3x 3

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 8874703440/(1x146)

LCM = 8874703440/146

LCM = 60785640

Thus, we can understand that the LCM of 257,365,146,648 is 60785640.

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

• LCM of 424, 518, 552, 184
• LCM of 719, 755, 943, 923
• LCM of 330, 541, 678, 921
• LCM of 772, 422, 695, 549
• LCM of 605, 877, 942, 270

1. What is the LCM of 257, 365, 146, 648?

Answer: LCM of 257, 365, 146, 648 is 60785640.

2. How to calculate the LCM of 257, 365, 146, 648?

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 257, 365, 146, 648.

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}.