Given numbers are 257,389,514,614

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

The LCM of 257,389,514,614 is 61383422.

Find LCM of 257,389,514,614 with Prime Factorization

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

2 x 257 x 1 x 389 x 1 x 307 = 61383422

Therefore, the lowest common multiple of 257,389,514,614 is 61383422.

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.

257 x 389 x 514 x 614 = 31551078908

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.

257 : 1, 257

389 : 1, 389

514 : 1, 2, 257, 514

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,389,514,614, is 1.

Now, the common factors can be found like this.

257:257

389:389

514:2x 257

614:2x 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 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 = 31551078908/(1x514)

LCM = 31551078908/514

LCM = 61383422

Thus, we can understand that the LCM of 257,389,514,614 is 61383422.

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

• LCM of 687, 752, 888, 474
• LCM of 312, 452, 391, 265
• LCM of 269, 505, 833, 616
• LCM of 550, 426, 976, 766
• LCM of 858, 371, 988, 104

1. What is the LCM of 257, 389, 514, 614?

Answer: LCM of 257, 389, 514, 614 is 61383422.

2. How to calculate the LCM of 257, 389, 514, 614?

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 257, 389, 514, 614.

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}.