Given numbers are 267,428,360,869,721

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

The LCM of 267,428,360,869,721 is 2147985405720.

Find LCM of 267,428,360,869,721 with Prime Factorization

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

2 x 2 x 3 x 89 x 107 x 30 x 869 x 721 = 2147985405720

Therefore, the lowest common multiple of 267,428,360,869,721 is 2147985405720.

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.

267 x 428 x 360 x 869 x 721 = 25775824868640

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.

267 : 1, 3, 89, 267

428 : 1, 2, 4, 107, 214, 428

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

869 : 1, 11, 79, 869

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,428,360,869,721, is 1.

Now, the common factors can be found like this.

267:3x 89

428:2x 2x 107

360:2x 2x 2x 3x 3x 5

869:11x 79

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 25775824868640/(1x12)

LCM = 25775824868640/12

LCM = 2147985405720

Thus, we can understand that the LCM of 267,428,360,869,721 is 2147985405720.

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

• LCM of 287, 840, 721, 847, 716
• LCM of 194, 534, 626, 420, 279
• LCM of 470, 770, 996, 362, 384
• LCM of 441, 303, 452, 646, 949
• LCM of 373, 687, 406, 841, 767

1. What is the LCM of 267, 428, 360, 869, 721?

Answer: LCM of 267, 428, 360, 869, 721 is 2147985405720.

2. How to calculate the LCM of 267, 428, 360, 869, 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 267, 428, 360, 869, 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}.