Given numbers are 276,460,149,763

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

The LCM of 276,460,149,763 is 156888060.

Find LCM of 276,460,149,763 with Prime Factorization

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

2 x 2 x 23 x 3 x 5 x 149 x 763 = 156888060

Therefore, the lowest common multiple of 276,460,149,763 is 156888060.

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.

276 x 460 x 149 x 763 = 14433701520

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

149 : 1, 149

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,460,149,763, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

460:2x 2x 5x 23

149:149

763:7x 109

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 23 = 92

Therefore, the value for common factors is 92.

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 = 14433701520/(1x92)

LCM = 14433701520/92

LCM = 156888060

Thus, we can understand that the LCM of 276,460,149,763 is 156888060.

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

• LCM of 736, 632, 767, 902
• LCM of 514, 438, 104, 982
• LCM of 780, 724, 769, 614
• LCM of 657, 536, 162, 429
• LCM of 557, 600, 355, 238

1. What is the LCM of 276, 460, 149, 763?

Answer: LCM of 276, 460, 149, 763 is 156888060.

2. How to calculate the LCM of 276, 460, 149, 763?

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 276, 460, 149, 763.

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}.