Given numbers are 614,908,924,702

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

The LCM of 614,908,924,702 is 7533938412.

Find LCM of 614,908,924,702 with Prime Factorization

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

2 x 2 x 3 x 307 x 227 x 77 x 117 = 7533938412

Therefore, the lowest common multiple of 614,908,924,702 is 7533938412.

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 908 x 924 x 702 = 361629043776

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

908 : 1, 2, 4, 227, 454, 908

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,908,924,702, is 2.

Now, the common factors can be found like this.

614:2x 307

908:2x 2x 227

924:2x 2x 3x 7x 11

702:2x 3x 3x 3x 13

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 = 361629043776/(2x24)

LCM = 361629043776/48

LCM = 7533938412

Thus, we can understand that the LCM of 614,908,924,702 is 7533938412.

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

• LCM of 412, 846, 782, 806
• LCM of 255, 729, 157, 456
• LCM of 257, 291, 144, 885
• LCM of 834, 600, 715, 177
• LCM of 460, 430, 287, 251

1. What is the LCM of 614, 908, 924, 702?

Answer: LCM of 614, 908, 924, 702 is 7533938412.

2. How to calculate the LCM of 614, 908, 924, 702?

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, 908, 924, 702.

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}.