Given numbers are 614,892,642,767

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

The LCM of 614,892,642,767 is 67422309708.

Find LCM of 614,892,642,767 with Prime Factorization

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

2 x 307 x 446 x 321 x 767 = 67422309708

Therefore, the lowest common multiple of 614,892,642,767 is 67422309708.

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.

614 x 892 x 642 x 767 = 269689238832

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.

614 : 1, 2, 307, 614

892 : 1, 2, 4, 223, 446, 892

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

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,892,642,767, is 1.

Now, the common factors can be found like this.

614:2x 307

892:2x 2x 223

642:2x 3x 107

767:13x 59

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 269689238832/(1x4)

LCM = 269689238832/4

LCM = 67422309708

Thus, we can understand that the LCM of 614,892,642,767 is 67422309708.

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

• LCM of 835, 256, 694, 383
• LCM of 438, 779, 272, 991
• LCM of 999, 978, 565, 925
• LCM of 474, 210, 175, 758
• LCM of 688, 800, 500, 740

1. What is the LCM of 614, 892, 642, 767?

Answer: LCM of 614, 892, 642, 767 is 67422309708.

2. How to calculate the LCM of 614, 892, 642, 767?

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 614, 892, 642, 767.

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}.