Given numbers are 402,268,461,721

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

The LCM of 402,268,461,721 is 267234324.

Find LCM of 402,268,461,721 with Prime Factorization

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

2 x 67 x 3 x 2 x 461 x 721 = 267234324

Therefore, the lowest common multiple of 402,268,461,721 is 267234324.

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.

402 x 268 x 461 x 721 = 35809399416

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

268 : 1, 2, 4, 67, 134, 268

461 : 1, 461

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,268,461,721, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

268:2x 2x 67

461:461

721:7x 103

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 35809399416/(1x134)

LCM = 35809399416/134

LCM = 267234324

Thus, we can understand that the LCM of 402,268,461,721 is 267234324.

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

• LCM of 799, 650, 902, 305
• LCM of 132, 914, 511, 458
• LCM of 578, 848, 648, 821
• LCM of 350, 722, 266, 969
• LCM of 633, 585, 403, 853

1. What is the LCM of 402, 268, 461, 721?

Answer: LCM of 402, 268, 461, 721 is 267234324.

2. How to calculate the LCM of 402, 268, 461, 721?

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 402, 268, 461, 721.

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}.