Given numbers are 511,409,146,101,120

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

The LCM of 511,409,146,101,120 is 2533067880.

Find LCM of 511,409,146,101,120 with Prime Factorization

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

2 x 73 x 7 x 409 x 1 x 101 x 60 = 2533067880

Therefore, the lowest common multiple of 511,409,146,101,120 is 2533067880.

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.

511 x 409 x 146 x 101 x 120 = 369827910480

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.

511 : 1, 7, 73, 511

409 : 1, 409

146 : 1, 2, 73, 146

101 : 1, 101

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,409,146,101,120, is 1.

Now, the common factors can be found like this.

511:7x 73

409:409

146:2x 73

101:101

120:2x 2x 2x 3x 5

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 = 369827910480/(1x146)

LCM = 369827910480/146

LCM = 2533067880

Thus, we can understand that the LCM of 511,409,146,101,120 is 2533067880.

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

• LCM of 700, 566, 974, 377, 199
• LCM of 649, 802, 227, 530, 308
• LCM of 742, 898, 918, 484, 716
• LCM of 843, 813, 768, 822, 327
• LCM of 401, 315, 983, 570, 713

1. What is the LCM of 511, 409, 146, 101, 120?

Answer: LCM of 511, 409, 146, 101, 120 is 2533067880.

2. How to calculate the LCM of 511, 409, 146, 101, 120?

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 511, 409, 146, 101, 120.

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}.