Given numbers are 614,154,771,624

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

The LCM of 614,154,771,624 is 3790939152.

Find LCM of 614,154,771,624 with Prime Factorization

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

2 x 3 x 307 x 77 x 257 x 104 = 3790939152

Therefore, the lowest common multiple of 614,154,771,624 is 3790939152.

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 154 x 771 x 624 = 45491269824

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

771 : 1, 3, 257, 771

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,154,771,624, is 1.

Now, the common factors can be found like this.

614:2x 307

154:2x 7x 11

771:3x 257

624:2x 2x 2x 2x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 45491269824/(1x12)

LCM = 45491269824/12

LCM = 3790939152

Thus, we can understand that the LCM of 614,154,771,624 is 3790939152.

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

• LCM of 801, 185, 325, 983
• LCM of 127, 977, 380, 158
• LCM of 511, 603, 445, 493
• LCM of 909, 975, 521, 417
• LCM of 114, 578, 109, 564

1. What is the LCM of 614, 154, 771, 624?

Answer: LCM of 614, 154, 771, 624 is 3790939152.

2. How to calculate the LCM of 614, 154, 771, 624?

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, 154, 771, 624.

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}.