Given numbers are 408,749,816,702

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

The LCM of 408,749,816,702 is 71508528.

Find LCM of 408,749,816,702 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 1 x 749 x 2 x 117 = 71508528

Therefore, the lowest common multiple of 408,749,816,702 is 71508528.

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.

408 x 749 x 816 x 702 = 175052876544

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

749 : 1, 7, 107, 749

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,749,816,702, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

749:7x 107

816:2x 2x 2x 2x 3x 17

702:2x 3x 3x 3x 13

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 175052876544/(1x2448)

LCM = 175052876544/2448

LCM = 71508528

Thus, we can understand that the LCM of 408,749,816,702 is 71508528.

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

• LCM of 520, 836, 795, 636
• LCM of 161, 812, 137, 891
• LCM of 572, 209, 563, 511
• LCM of 714, 600, 830, 398
• LCM of 105, 891, 145, 964

1. What is the LCM of 408, 749, 816, 702?

Answer: LCM of 408, 749, 816, 702 is 71508528.

2. How to calculate the LCM of 408, 749, 816, 702?

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 408, 749, 816, 702.

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}.