Given numbers are 754,789,689,493

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

The LCM of 754,789,689,493 is 536010306.

Find LCM of 754,789,689,493 with Prime Factorization

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

13 x 29 x 2 x 789 x 53 x 17 = 536010306

Therefore, the lowest common multiple of 754,789,689,493 is 536010306.

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.

754 x 789 x 689 x 493 = 202075885362

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

789 : 1, 3, 263, 789

689 : 1, 13, 53, 689

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,789,689,493, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

789:3x 263

689:13x 53

493:17x 29

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

13x 29 = 377

Therefore, the value for common factors is 377.

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 = 202075885362/(1x377)

LCM = 202075885362/377

LCM = 536010306

Thus, we can understand that the LCM of 754,789,689,493 is 536010306.

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

• LCM of 731, 900, 675, 909
• LCM of 139, 739, 359, 995
• LCM of 263, 890, 140, 224
• LCM of 565, 953, 907, 649
• LCM of 834, 767, 445, 705

1. What is the LCM of 754, 789, 689, 493?

Answer: LCM of 754, 789, 689, 493 is 536010306.

2. How to calculate the LCM of 754, 789, 689, 493?

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 754, 789, 689, 493.

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}.