Given numbers are 542,549,305,814,764

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

The LCM of 542,549,305,814,764 is 231312662460.

Find LCM of 542,549,305,814,764 with Prime Factorization

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

2 x 61 x 271 x 9 x 5 x 407 x 382 = 231312662460

Therefore, the lowest common multiple of 542,549,305,814,764 is 231312662460.

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.

542 x 549 x 305 x 814 x 764 = 56440289640240

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.

542 : 1, 2, 271, 542

549 : 1, 3, 9, 61, 183, 549

305 : 1, 5, 61, 305

814 : 1, 2, 11, 22, 37, 74, 407, 814

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,549,305,814,764, is 1.

Now, the common factors can be found like this.

542:2x 271

549:3x 3x 61

305:5x 61

814:2x 11x 37

764:2x 2x 191

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 61 = 244

Therefore, the value for common factors is 244.

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 = 56440289640240/(1x244)

LCM = 56440289640240/244

LCM = 231312662460

Thus, we can understand that the LCM of 542,549,305,814,764 is 231312662460.

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

• LCM of 781, 926, 579, 700, 578
• LCM of 297, 608, 661, 707, 335
• LCM of 973, 614, 230, 424, 525
• LCM of 586, 242, 845, 113, 173
• LCM of 580, 422, 171, 781, 862

1. What is the LCM of 542, 549, 305, 814, 764?

Answer: LCM of 542, 549, 305, 814, 764 is 231312662460.

2. How to calculate the LCM of 542, 549, 305, 814, 764?

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 542, 549, 305, 814, 764.

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}.