Given numbers are 514,438,470,335

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

The LCM of 514,438,470,335 is 1772351670.

Find LCM of 514,438,470,335 with Prime Factorization

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

2 x 5 x 257 x 219 x 47 x 67 = 1772351670

Therefore, the lowest common multiple of 514,438,470,335 is 1772351670.

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 438 x 470 x 335 = 35447033400

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

470 : 1, 2, 5, 10, 47, 94, 235, 470

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,438,470,335, is 1.

Now, the common factors can be found like this.

514:2x 257

438:2x 3x 73

470:2x 5x 47

335:5x 67

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 35447033400/(1x20)

LCM = 35447033400/20

LCM = 1772351670

Thus, we can understand that the LCM of 514,438,470,335 is 1772351670.

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

• LCM of 919, 998, 807, 850
• LCM of 738, 459, 367, 344
• LCM of 486, 981, 897, 788
• LCM of 683, 537, 321, 845
• LCM of 190, 384, 543, 707

1. What is the LCM of 514, 438, 470, 335?

Answer: LCM of 514, 438, 470, 335 is 1772351670.

2. How to calculate the LCM of 514, 438, 470, 335?

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, 438, 470, 335.

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}.