Given numbers are 714,398,319,645

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

The LCM of 714,398,319,645 is 9744968310.

Find LCM of 714,398,319,645 with Prime Factorization

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

2 x 3 x 119 x 199 x 319 x 215 = 9744968310

Therefore, the lowest common multiple of 714,398,319,645 is 9744968310.

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.

714 x 398 x 319 x 645 = 58469809860

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

398 : 1, 2, 199, 398

319 : 1, 11, 29, 319

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,398,319,645, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

398:2x 199

319:11x 29

645:3x 5x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 58469809860/(1x6)

LCM = 58469809860/6

LCM = 9744968310

Thus, we can understand that the LCM of 714,398,319,645 is 9744968310.

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

• LCM of 504, 244, 740, 186
• LCM of 898, 619, 571, 193
• LCM of 933, 889, 492, 575
• LCM of 582, 320, 682, 554
• LCM of 105, 765, 510, 370

1. What is the LCM of 714, 398, 319, 645?

Answer: LCM of 714, 398, 319, 645 is 9744968310.

2. How to calculate the LCM of 714, 398, 319, 645?

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 714, 398, 319, 645.

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}.