Given numbers are 514,974,756,370

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

The LCM of 514,974,756,370 is 17504737740.

Find LCM of 514,974,756,370 with Prime Factorization

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

2 x 257 x 487 x 378 x 185 = 17504737740

Therefore, the lowest common multiple of 514,974,756,370 is 17504737740.

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 974 x 756 x 370 = 140037901920

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

974 : 1, 2, 487, 974

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

370 : 1, 2, 5, 10, 37, 74, 185, 370

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,974,756,370, is 2.

Now, the common factors can be found like this.

514:2x 257

974:2x 487

756:2x 2x 3x 3x 3x 7

370:2x 5x 37

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 = 140037901920/(2x4)

LCM = 140037901920/8

LCM = 17504737740

Thus, we can understand that the LCM of 514,974,756,370 is 17504737740.

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

• LCM of 226, 327, 401, 266
• LCM of 581, 357, 761, 253
• LCM of 980, 172, 253, 568
• LCM of 103, 982, 681, 384
• LCM of 531, 155, 742, 664

1. What is the LCM of 514, 974, 756, 370?

Answer: LCM of 514, 974, 756, 370 is 17504737740.

2. How to calculate the LCM of 514, 974, 756, 370?

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, 974, 756, 370.

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}.