Given numbers are 514,276,574,974

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

The LCM of 514,276,574,974 is 9914094708.

Find LCM of 514,276,574,974 with Prime Factorization

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

2 x 257 x 138 x 287 x 487 = 9914094708

Therefore, the lowest common multiple of 514,276,574,974 is 9914094708.

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 276 x 574 x 974 = 79312757664

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,276,574,974, is 2.

Now, the common factors can be found like this.

514:2x 257

276:2x 2x 3x 23

574:2x 7x 41

974:2x 487

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 = 79312757664/(2x4)

LCM = 79312757664/8

LCM = 9914094708

Thus, we can understand that the LCM of 514,276,574,974 is 9914094708.

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

• LCM of 378, 484, 391, 853
• LCM of 634, 900, 479, 601
• LCM of 314, 562, 170, 859
• LCM of 833, 480, 289, 420
• LCM of 138, 143, 106, 175

1. What is the LCM of 514, 276, 574, 974?

Answer: LCM of 514, 276, 574, 974 is 9914094708.

2. How to calculate the LCM of 514, 276, 574, 974?

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, 276, 574, 974.

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}.