Given numbers are 565,458,314,674

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

The LCM of 565,458,314,674 is 13691261930.

Find LCM of 565,458,314,674 with Prime Factorization

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

2 x 565 x 229 x 157 x 337 = 13691261930

Therefore, the lowest common multiple of 565,458,314,674 is 13691261930.

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.

565 x 458 x 314 x 674 = 54765047720

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.

565 : 1, 5, 113, 565

458 : 1, 2, 229, 458

314 : 1, 2, 157, 314

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,458,314,674, is 1.

Now, the common factors can be found like this.

565:5x 113

458:2x 229

314:2x 157

674:2x 337

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 54765047720/(1x4)

LCM = 54765047720/4

LCM = 13691261930

Thus, we can understand that the LCM of 565,458,314,674 is 13691261930.

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

• LCM of 434, 132, 139, 914
• LCM of 141, 578, 449, 934
• LCM of 909, 459, 318, 545
• LCM of 888, 206, 173, 136
• LCM of 116, 620, 452, 380

1. What is the LCM of 565, 458, 314, 674?

Answer: LCM of 565, 458, 314, 674 is 13691261930.

2. How to calculate the LCM of 565, 458, 314, 674?

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 565, 458, 314, 674.

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}.