Given numbers are 614,148,307,478

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

The LCM of 614,148,307,478 is 10859204.

Find LCM of 614,148,307,478 with Prime Factorization

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

2 x 307 x 1 x 74 x 1 x 239 = 10859204

Therefore, the lowest common multiple of 614,148,307,478 is 10859204.

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 148 x 307 x 478 = 13335102512

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

148 : 1, 2, 4, 37, 74, 148

307 : 1, 307

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,148,307,478, is 1.

Now, the common factors can be found like this.

614:2x 307

148:2x 2x 37

307:307

478:2x 239

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 = 13335102512/(1x1228)

LCM = 13335102512/1228

LCM = 10859204

Thus, we can understand that the LCM of 614,148,307,478 is 10859204.

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

• LCM of 388, 858, 731, 508
• LCM of 672, 740, 633, 900
• LCM of 516, 391, 892, 753
• LCM of 288, 525, 579, 291
• LCM of 234, 188, 872, 693

1. What is the LCM of 614, 148, 307, 478?

Answer: LCM of 614, 148, 307, 478 is 10859204.

2. How to calculate the LCM of 614, 148, 307, 478?

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, 148, 307, 478.

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}.