Given numbers are 714,148,307,778

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

The LCM of 714,148,307,778 is 6309833628.

Find LCM of 714,148,307,778 with Prime Factorization

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

2 x 357 x 74 x 307 x 389 = 6309833628

Therefore, the lowest common multiple of 714,148,307,778 is 6309833628.

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 148 x 307 x 778 = 25239334512

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

148 : 1, 2, 4, 37, 74, 148

307 : 1, 307

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,148,307,778, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

148:2x 2x 37

307:307

778:2x 389

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25239334512/(1x4)

LCM = 25239334512/4

LCM = 6309833628

Thus, we can understand that the LCM of 714,148,307,778 is 6309833628.

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

• LCM of 387, 508, 406, 159
• LCM of 361, 496, 681, 979
• LCM of 973, 589, 628, 101
• LCM of 672, 840, 938, 519
• LCM of 423, 645, 913, 195

1. What is the LCM of 714, 148, 307, 778?

Answer: LCM of 714, 148, 307, 778 is 6309833628.

2. How to calculate the LCM of 714, 148, 307, 778?

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, 148, 307, 778.

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}.