Given numbers are 504,642,714,618

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

The LCM of 504,642,714,618 is 94427928.

Find LCM of 504,642,714,618 with Prime Factorization

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

2 x 3 x 7 x 12 x 107 x 17 x 103 = 94427928

Therefore, the lowest common multiple of 504,642,714,618 is 94427928.

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.

504 x 642 x 714 x 618 = 142775027136

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,642,714,618, is 6.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

642:2x 3x 107

714:2x 3x 7x 17

618:2x 3x 103

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 142775027136/(6x252)

LCM = 142775027136/1512

LCM = 94427928

Thus, we can understand that the LCM of 504,642,714,618 is 94427928.

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

• LCM of 133, 935, 643, 526
• LCM of 919, 859, 427, 876
• LCM of 137, 180, 597, 237
• LCM of 676, 609, 550, 329
• LCM of 159, 970, 565, 248

1. What is the LCM of 504, 642, 714, 618?

Answer: LCM of 504, 642, 714, 618 is 94427928.

2. How to calculate the LCM of 504, 642, 714, 618?

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 504, 642, 714, 618.

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}.