Given numbers are 561,745,748,29

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

The LCM of 561,745,748,29 is 48481620.

Find LCM of 561,745,748,29 with Prime Factorization

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

11 x 17 x 3 x 745 x 4 x 29 = 48481620

Therefore, the lowest common multiple of 561,745,748,29 is 48481620.

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.

561 x 745 x 748 x 29 = 9066062940

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

745 : 1, 5, 149, 745

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

29 : 1, 29

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,745,748,29, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

745:5x 149

748:2x 2x 11x 17

29:29

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 9066062940/(1x187)

LCM = 9066062940/187

LCM = 48481620

Thus, we can understand that the LCM of 561,745,748,29 is 48481620.

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

• LCM of 217, 845, 913, 48
• LCM of 869, 814, 916, 72
• LCM of 559, 316, 579, 80
• LCM of 940, 269, 837, 79
• LCM of 382, 737, 688, 10

1. What is the LCM of 561, 745, 748, 29?

Answer: LCM of 561, 745, 748, 29 is 48481620.

2. How to calculate the LCM of 561, 745, 748, 29?

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 561, 745, 748, 29.

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}.