Given numbers are 314,548,404,260

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

The LCM of 314,548,404,260 is 564826340.

Find LCM of 314,548,404,260 with Prime Factorization

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

2 x 2 x 157 x 137 x 101 x 65 = 564826340

Therefore, the lowest common multiple of 314,548,404,260 is 564826340.

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.

314 x 548 x 404 x 260 = 18074442880

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.

314 : 1, 2, 157, 314

548 : 1, 2, 4, 137, 274, 548

404 : 1, 2, 4, 101, 202, 404

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,548,404,260, is 2.

Now, the common factors can be found like this.

314:2x 157

548:2x 2x 137

404:2x 2x 101

260:2x 2x 5x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 18074442880/(2x16)

LCM = 18074442880/32

LCM = 564826340

Thus, we can understand that the LCM of 314,548,404,260 is 564826340.

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

• LCM of 564, 226, 677, 564
• LCM of 905, 142, 924, 883
• LCM of 457, 579, 586, 502
• LCM of 685, 830, 680, 629
• LCM of 625, 501, 383, 799

1. What is the LCM of 314, 548, 404, 260?

Answer: LCM of 314, 548, 404, 260 is 564826340.

2. How to calculate the LCM of 314, 548, 404, 260?

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 314, 548, 404, 260.

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}.