Given numbers are 714,350,403,208

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

The LCM of 714,350,403,208 is 57548400.

Find LCM of 714,350,403,208 with Prime Factorization

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

2 x 7 x 13 x 51 x 25 x 31 x 8 = 57548400

Therefore, the lowest common multiple of 714,350,403,208 is 57548400.

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 350 x 403 x 208 = 20947617600

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

403 : 1, 13, 31, 403

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,350,403,208, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

350:2x 5x 5x 7

403:13x 31

208:2x 2x 2x 2x 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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 20947617600/(1x364)

LCM = 20947617600/364

LCM = 57548400

Thus, we can understand that the LCM of 714,350,403,208 is 57548400.

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

• LCM of 857, 181, 444, 771
• LCM of 583, 480, 275, 124
• LCM of 356, 852, 516, 229
• LCM of 782, 904, 595, 743
• LCM of 686, 467, 633, 266

1. What is the LCM of 714, 350, 403, 208?

Answer: LCM of 714, 350, 403, 208 is 57548400.

2. How to calculate the LCM of 714, 350, 403, 208?

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, 350, 403, 208.

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}.