Given numbers are 748,988,460,737,884

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

The LCM of 748,988,460,737,884 is 1423544980.

Find LCM of 748,988,460,737,884 with Prime Factorization

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

2 x 2 x 11 x 13 x 17 x 1 x 19 x 115 x 67 x 1 = 1423544980

Therefore, the lowest common multiple of 748,988,460,737,884 is 1423544980.

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 988 x 460 x 737 x 884 = 221480822168320

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

737 : 1, 11, 67, 737

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,988,460,737,884, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

988:2x 2x 13x 19

460:2x 2x 5x 23

737:11x 67

884:2x 2x 13x 17

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

2x 2x 2x 2x 2x 2x 11x 13x 17 = 155584

Therefore, the value for common factors is 155584.

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 = 221480822168320/(1x155584)

LCM = 221480822168320/155584

LCM = 1423544980

Thus, we can understand that the LCM of 748,988,460,737,884 is 1423544980.

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

• LCM of 585, 916, 378, 978, 798
• LCM of 905, 934, 484, 808, 872
• LCM of 810, 876, 131, 367, 151
• LCM of 462, 509, 443, 843, 101
• LCM of 745, 260, 536, 488, 366

1. What is the LCM of 748, 988, 460, 737, 884?

Answer: LCM of 748, 988, 460, 737, 884 is 1423544980.

2. How to calculate the LCM of 748, 988, 460, 737, 884?

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, 988, 460, 737, 884.

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}.