Given numbers are 614,964,506,921

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

The LCM of 614,964,506,921 is 224624532.

Find LCM of 614,964,506,921 with Prime Factorization

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

2 x 307 x 1 x 482 x 253 x 3 = 224624532

Therefore, the lowest common multiple of 614,964,506,921 is 224624532.

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 964 x 506 x 921 = 275838925296

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

964 : 1, 2, 4, 241, 482, 964

506 : 1, 2, 11, 22, 23, 46, 253, 506

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,964,506,921, is 1.

Now, the common factors can be found like this.

614:2x 307

964:2x 2x 241

506:2x 11x 23

921:3x 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 2x 307 = 1228

Therefore, the value for common factors is 1228.

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 = 275838925296/(1x1228)

LCM = 275838925296/1228

LCM = 224624532

Thus, we can understand that the LCM of 614,964,506,921 is 224624532.

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

• LCM of 366, 808, 514, 487
• LCM of 218, 520, 855, 652
• LCM of 159, 985, 969, 982
• LCM of 903, 969, 511, 435
• LCM of 445, 659, 323, 295

1. What is the LCM of 614, 964, 506, 921?

Answer: LCM of 614, 964, 506, 921 is 224624532.

2. How to calculate the LCM of 614, 964, 506, 921?

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, 964, 506, 921.

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}.