Given numbers are 514,257,565,574

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

The LCM of 514,257,565,574 is 83347670.

Find LCM of 514,257,565,574 with Prime Factorization

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

2 x 257 x 1 x 1 x 565 x 287 = 83347670

Therefore, the lowest common multiple of 514,257,565,574 is 83347670.

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.

514 x 257 x 565 x 574 = 42840702380

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.

514 : 1, 2, 257, 514

257 : 1, 257

565 : 1, 5, 113, 565

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,257,565,574, is 1.

Now, the common factors can be found like this.

514:2x 257

257:257

565:5x 113

574:2x 7x 41

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

2x 257 = 514

Therefore, the value for common factors is 514.

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 = 42840702380/(1x514)

LCM = 42840702380/514

LCM = 83347670

Thus, we can understand that the LCM of 514,257,565,574 is 83347670.

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

• LCM of 666, 936, 414, 709
• LCM of 291, 559, 140, 881
• LCM of 349, 423, 733, 526
• LCM of 897, 698, 562, 311
• LCM of 644, 338, 829, 301

1. What is the LCM of 514, 257, 565, 574?

Answer: LCM of 514, 257, 565, 574 is 83347670.

2. How to calculate the LCM of 514, 257, 565, 574?

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 514, 257, 565, 574.

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}.