Given numbers are 267,676,720,952,102

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

The LCM of 267,676,720,952,102 is 1288712880.

Find LCM of 267,676,720,952,102 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 89 x 169 x 30 x 7 x 1 = 1288712880

Therefore, the lowest common multiple of 267,676,720,952,102 is 1288712880.

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 676 x 720 x 952 x 102 = 12619076520960

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,676,720,952,102, is 1.

Now, the common factors can be found like this.

267:3x 89

676:2x 2x 13x 13

720:2x 2x 2x 2x 3x 3x 5

952:2x 2x 2x 7x 17

102:2x 3x 17

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 2x 2x 3x 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 12619076520960/(1x9792)

LCM = 12619076520960/9792

LCM = 1288712880

Thus, we can understand that the LCM of 267,676,720,952,102 is 1288712880.

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

• LCM of 900, 843, 116, 862, 125
• LCM of 518, 187, 299, 186, 705
• LCM of 605, 362, 725, 841, 729
• LCM of 420, 967, 359, 569, 929
• LCM of 284, 348, 556, 828, 735

1. What is the LCM of 267, 676, 720, 952, 102?

Answer: LCM of 267, 676, 720, 952, 102 is 1288712880.

2. How to calculate the LCM of 267, 676, 720, 952, 102?

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, 676, 720, 952, 102.

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}.