Given numbers are 624,422,542,348,714

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

The LCM of 624,422,542,348,714 is 123134937744.

Find LCM of 624,422,542,348,714 with Prime Factorization

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

2 x 2 x 3 x 52 x 211 x 271 x 29 x 119 = 123134937744

Therefore, the lowest common multiple of 624,422,542,348,714 is 123134937744.

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.

624 x 422 x 542 x 348 x 714 = 35462862070272

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

422 : 1, 2, 211, 422

542 : 1, 2, 271, 542

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,422,542,348,714, is 2.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

422:2x 211

542:2x 271

348:2x 2x 3x 29

714:2x 3x 7x 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 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 = 35462862070272/(2x144)

LCM = 35462862070272/288

LCM = 123134937744

Thus, we can understand that the LCM of 624,422,542,348,714 is 123134937744.

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

• LCM of 960, 827, 487, 827, 586
• LCM of 130, 275, 592, 345, 839
• LCM of 419, 537, 166, 991, 980
• LCM of 941, 162, 743, 680, 302
• LCM of 818, 706, 989, 338, 691

1. What is the LCM of 624, 422, 542, 348, 714?

Answer: LCM of 624, 422, 542, 348, 714 is 123134937744.

2. How to calculate the LCM of 624, 422, 542, 348, 714?

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 624, 422, 542, 348, 714.

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}.