Given numbers are 585,533,746,749

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

The LCM of 585,533,746,749 is 13401714690.

Find LCM of 585,533,746,749 with Prime Factorization

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

13 x 45 x 41 x 746 x 749 = 13401714690

Therefore, the lowest common multiple of 585,533,746,749 is 13401714690.

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.

585 x 533 x 746 x 749 = 174222290970

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

533 : 1, 13, 41, 533

746 : 1, 2, 373, 746

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,533,746,749, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

533:13x 41

746:2x 373

749:7x 107

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

13 = 13

Therefore, the value for common factors is 13.

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 = 174222290970/(1x13)

LCM = 174222290970/13

LCM = 13401714690

Thus, we can understand that the LCM of 585,533,746,749 is 13401714690.

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

• LCM of 576, 522, 398, 165
• LCM of 328, 892, 625, 416
• LCM of 275, 384, 275, 431
• LCM of 767, 542, 297, 307
• LCM of 259, 516, 135, 384

1. What is the LCM of 585, 533, 746, 749?

Answer: LCM of 585, 533, 746, 749 is 13401714690.

2. How to calculate the LCM of 585, 533, 746, 749?

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 585, 533, 746, 749.

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}.