Given numbers are 742,749,826,529

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

The LCM of 742,749,826,529 is 2477966134.

Find LCM of 742,749,826,529 with Prime Factorization

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

2 x 7 x 53 x 107 x 59 x 529 = 2477966134

Therefore, the lowest common multiple of 742,749,826,529 is 2477966134.

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.

742 x 749 x 826 x 529 = 242840681132

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.

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

749 : 1, 7, 107, 749

826 : 1, 2, 7, 14, 59, 118, 413, 826

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,749,826,529, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

749:7x 107

826:2x 7x 59

529:23x 23

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

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 242840681132/(1x98)

LCM = 242840681132/98

LCM = 2477966134

Thus, we can understand that the LCM of 742,749,826,529 is 2477966134.

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

• LCM of 722, 452, 792, 510
• LCM of 559, 399, 973, 303
• LCM of 455, 109, 259, 566
• LCM of 389, 461, 188, 498
• LCM of 240, 897, 715, 911

1. What is the LCM of 742, 749, 826, 529?

Answer: LCM of 742, 749, 826, 529 is 2477966134.

2. How to calculate the LCM of 742, 749, 826, 529?

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 742, 749, 826, 529.

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}.