Given numbers are 769,466,307,614

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

The LCM of 769,466,307,614 is 110014678.

Find LCM of 769,466,307,614 with Prime Factorization

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

2 x 307 x 769 x 233 x 1 x 1 = 110014678

Therefore, the lowest common multiple of 769,466,307,614 is 110014678.

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.

769 x 466 x 307 x 614 = 67549012292

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.

769 : 1, 769

466 : 1, 2, 233, 466

307 : 1, 307

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,466,307,614, is 1.

Now, the common factors can be found like this.

769:769

466:2x 233

307:307

614:2x 307

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

2x 307 = 614

Therefore, the value for common factors is 614.

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 = 67549012292/(1x614)

LCM = 67549012292/614

LCM = 110014678

Thus, we can understand that the LCM of 769,466,307,614 is 110014678.

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

• LCM of 581, 612, 960, 207
• LCM of 752, 786, 741, 549
• LCM of 549, 470, 818, 453
• LCM of 841, 613, 652, 585
• LCM of 490, 917, 632, 778

1. What is the LCM of 769, 466, 307, 614?

Answer: LCM of 769, 466, 307, 614 is 110014678.

2. How to calculate the LCM of 769, 466, 307, 614?

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 769, 466, 307, 614.

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}.