Given numbers are 748,274,406,728,716

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

The LCM of 748,274,406,728,716 is 96815430712.

Find LCM of 748,274,406,728,716 with Prime Factorization

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

2 x 2 x 7 x 187 x 137 x 29 x 26 x 179 = 96815430712

Therefore, the lowest common multiple of 748,274,406,728,716 is 96815430712.

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 274 x 406 x 728 x 716 = 43373312958976

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

274 : 1, 2, 137, 274

406 : 1, 2, 7, 14, 29, 58, 203, 406

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

716 : 1, 2, 4, 179, 358, 716

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,274,406,728,716, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

274:2x 137

406:2x 7x 29

728:2x 2x 2x 7x 13

716:2x 2x 179

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 7 = 224

Therefore, the value for common factors is 224.

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 = 43373312958976/(2x224)

LCM = 43373312958976/448

LCM = 96815430712

Thus, we can understand that the LCM of 748,274,406,728,716 is 96815430712.

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

• LCM of 801, 839, 776, 203, 710
• LCM of 377, 323, 627, 271, 819
• LCM of 395, 545, 643, 873, 620
• LCM of 921, 252, 757, 853, 871
• LCM of 394, 735, 432, 573, 420

1. What is the LCM of 748, 274, 406, 728, 716?

Answer: LCM of 748, 274, 406, 728, 716 is 96815430712.

2. How to calculate the LCM of 748, 274, 406, 728, 716?

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, 274, 406, 728, 716.

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}.