Given numbers are 740,314,986,214

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

The LCM of 740,314,986,214 is 6128611180.

Find LCM of 740,314,986,214 with Prime Factorization

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

2 x 370 x 157 x 493 x 107 = 6128611180

Therefore, the lowest common multiple of 740,314,986,214 is 6128611180.

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.

740 x 314 x 986 x 214 = 49028889440

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

314 : 1, 2, 157, 314

986 : 1, 2, 17, 29, 34, 58, 493, 986

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,314,986,214, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

314:2x 157

986:2x 17x 29

214:2x 107

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 = 49028889440/(2x4)

LCM = 49028889440/8

LCM = 6128611180

Thus, we can understand that the LCM of 740,314,986,214 is 6128611180.

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

• LCM of 264, 935, 171, 296
• LCM of 493, 190, 367, 713
• LCM of 115, 225, 920, 526
• LCM of 488, 195, 284, 536
• LCM of 130, 643, 180, 562

1. What is the LCM of 740, 314, 986, 214?

Answer: LCM of 740, 314, 986, 214 is 6128611180.

2. How to calculate the LCM of 740, 314, 986, 214?

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 740, 314, 986, 214.

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}.