Given numbers are 769,814,742,845,859

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

The LCM of 769,814,742,845,859 is 168567764395030.

Find LCM of 769,814,742,845,859 with Prime Factorization

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

2 x 769 x 407 x 371 x 845 x 859 = 168567764395030

Therefore, the lowest common multiple of 769,814,742,845,859 is 168567764395030.

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.

769 x 814 x 742 x 845 x 859 = 337135528790060

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.

769 : 1, 769

814 : 1, 2, 11, 22, 37, 74, 407, 814

742 : 1, 2, 7, 14, 53, 106, 371, 742

845 : 1, 5, 13, 65, 169, 845

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,814,742,845,859, is 1.

Now, the common factors can be found like this.

769:769

814:2x 11x 37

742:2x 7x 53

845:5x 13x 13

859:859

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

2 = 2

Therefore, the value for common factors is 2.

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 = 337135528790060/(1x2)

LCM = 337135528790060/2

LCM = 168567764395030

Thus, we can understand that the LCM of 769,814,742,845,859 is 168567764395030.

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

• LCM of 510, 795, 131, 115, 924
• LCM of 115, 796, 635, 296, 454
• LCM of 443, 404, 245, 356, 436
• LCM of 987, 857, 300, 911, 557
• LCM of 145, 157, 382, 931, 575

1. What is the LCM of 769, 814, 742, 845, 859?

Answer: LCM of 769, 814, 742, 845, 859 is 168567764395030.

2. How to calculate the LCM of 769, 814, 742, 845, 859?

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 769, 814, 742, 845, 859.

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}.