Given numbers are 714,491,636,958,440

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

The LCM of 714,491,636,958,440 is 1958004870360.

Find LCM of 714,491,636,958,440 with Prime Factorization

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

2 x 2 x 3 x 119 x 491 x 53 x 479 x 110 = 1958004870360

Therefore, the lowest common multiple of 714,491,636,958,440 is 1958004870360.

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 491 x 636 x 958 x 440 = 93984233777280

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

491 : 1, 491

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

958 : 1, 2, 479, 958

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,491,636,958,440, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

491:491

636:2x 2x 3x 53

958:2x 479

440:2x 2x 2x 5x 11

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 93984233777280/(1x48)

LCM = 93984233777280/48

LCM = 1958004870360

Thus, we can understand that the LCM of 714,491,636,958,440 is 1958004870360.

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

• LCM of 932, 513, 502, 112, 206
• LCM of 495, 928, 539, 159, 897
• LCM of 899, 780, 781, 549, 363
• LCM of 414, 849, 333, 655, 453
• LCM of 555, 644, 243, 196, 777

1. What is the LCM of 714, 491, 636, 958, 440?

Answer: LCM of 714, 491, 636, 958, 440 is 1958004870360.

2. How to calculate the LCM of 714, 491, 636, 958, 440?

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, 491, 636, 958, 440.

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}.