Given numbers are 770,864,313,714

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

The LCM of 770,864,313,714 is 1769977440.

Find LCM of 770,864,313,714 with Prime Factorization

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

2 x 3 x 7 x 55 x 144 x 313 x 17 = 1769977440

Therefore, the lowest common multiple of 770,864,313,714 is 1769977440.

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.

770 x 864 x 313 x 714 = 148678104960

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

313 : 1, 313

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,864,313,714, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

864:2x 2x 2x 2x 2x 3x 3x 3

313:313

714:2x 3x 7x 17

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 148678104960/(1x84)

LCM = 148678104960/84

LCM = 1769977440

Thus, we can understand that the LCM of 770,864,313,714 is 1769977440.

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

• LCM of 601, 344, 199, 121
• LCM of 992, 686, 440, 875
• LCM of 812, 693, 154, 797
• LCM of 608, 559, 932, 643
• LCM of 590, 638, 575, 997

1. What is the LCM of 770, 864, 313, 714?

Answer: LCM of 770, 864, 313, 714 is 1769977440.

2. How to calculate the LCM of 770, 864, 313, 714?

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 770, 864, 313, 714.

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}.