Given numbers are 748,205,213,776

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

The LCM of 748,205,213,776 is 6336315480.

Find LCM of 748,205,213,776 with Prime Factorization

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

2 x 2 x 187 x 205 x 213 x 194 = 6336315480

Therefore, the lowest common multiple of 748,205,213,776 is 6336315480.

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.

748 x 205 x 213 x 776 = 25345261920

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.

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

205 : 1, 5, 41, 205

213 : 1, 3, 71, 213

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,205,213,776, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

205:5x 41

213:3x 71

776:2x 2x 2x 97

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25345261920/(1x4)

LCM = 25345261920/4

LCM = 6336315480

Thus, we can understand that the LCM of 748,205,213,776 is 6336315480.

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

• LCM of 299, 451, 869, 960
• LCM of 780, 281, 253, 104
• LCM of 654, 530, 906, 542
• LCM of 750, 374, 800, 284
• LCM of 612, 100, 564, 370

1. What is the LCM of 748, 205, 213, 776?

Answer: LCM of 748, 205, 213, 776 is 6336315480.

2. How to calculate the LCM of 748, 205, 213, 776?

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 748, 205, 213, 776.

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}.