Given numbers are 468,167,770,618,542

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

The LCM of 468,167,770,618,542 is 839903844780.

Find LCM of 468,167,770,618,542 with Prime Factorization

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

2 x 3 x 78 x 167 x 385 x 103 x 271 = 839903844780

Therefore, the lowest common multiple of 468,167,770,618,542 is 839903844780.

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.

468 x 167 x 770 x 618 x 542 = 20157692274720

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

167 : 1, 167

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

618 : 1, 2, 3, 6, 103, 206, 309, 618

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,167,770,618,542, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

167:167

770:2x 5x 7x 11

618:2x 3x 103

542:2x 271

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 3 = 24

Therefore, the value for common factors is 24.

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 = 20157692274720/(1x24)

LCM = 20157692274720/24

LCM = 839903844780

Thus, we can understand that the LCM of 468,167,770,618,542 is 839903844780.

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

• LCM of 985, 414, 514, 211, 247
• LCM of 409, 692, 270, 680, 215
• LCM of 153, 321, 432, 360, 262
• LCM of 507, 740, 136, 399, 603
• LCM of 688, 376, 794, 345, 184

1. What is the LCM of 468, 167, 770, 618, 542?

Answer: LCM of 468, 167, 770, 618, 542 is 839903844780.

2. How to calculate the LCM of 468, 167, 770, 618, 542?

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 468, 167, 770, 618, 542.

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}.