Given numbers are 267,107,996,716,720

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

The LCM of 267,107,996,716,720 is 101867911920.

Find LCM of 267,107,996,716,720 with Prime Factorization

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

2 x 2 x 3 x 89 x 107 x 83 x 179 x 60 = 101867911920

Therefore, the lowest common multiple of 267,107,996,716,720 is 101867911920.

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 107 x 996 x 716 x 720 = 14668979316480

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

107 : 1, 107

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

716 : 1, 2, 4, 179, 358, 716

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,107,996,716,720, is 1.

Now, the common factors can be found like this.

267:3x 89

107:107

996:2x 2x 3x 83

716:2x 2x 179

720:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 14668979316480/(1x144)

LCM = 14668979316480/144

LCM = 101867911920

Thus, we can understand that the LCM of 267,107,996,716,720 is 101867911920.

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

• LCM of 599, 688, 561, 184, 722
• LCM of 802, 726, 476, 998, 314
• LCM of 771, 198, 804, 655, 637
• LCM of 125, 267, 864, 727, 132
• LCM of 856, 205, 866, 824, 493

1. What is the LCM of 267, 107, 996, 716, 720?

Answer: LCM of 267, 107, 996, 716, 720 is 101867911920.

2. How to calculate the LCM of 267, 107, 996, 716, 720?

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, 107, 996, 716, 720.

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}.