Given numbers are 714,648,403,687

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

The LCM of 714,648,403,687 is 7116435144.

Find LCM of 714,648,403,687 with Prime Factorization

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

2 x 3 x 119 x 108 x 403 x 229 = 7116435144

Therefore, the lowest common multiple of 714,648,403,687 is 7116435144.

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 648 x 403 x 687 = 128095832592

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

403 : 1, 13, 31, 403

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,648,403,687, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

648:2x 2x 2x 3x 3x 3x 3

403:13x 31

687:3x 229

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 128095832592/(1x18)

LCM = 128095832592/18

LCM = 7116435144

Thus, we can understand that the LCM of 714,648,403,687 is 7116435144.

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

• LCM of 555, 409, 590, 619
• LCM of 253, 671, 713, 472
• LCM of 713, 567, 624, 180
• LCM of 878, 611, 740, 751
• LCM of 521, 179, 107, 569

1. What is the LCM of 714, 648, 403, 687?

Answer: LCM of 714, 648, 403, 687 is 7116435144.

2. How to calculate the LCM of 714, 648, 403, 687?

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, 648, 403, 687.

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}.