Given numbers are 748,482,174,120,458

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

The LCM of 748,482,174,120,458 is 35914793640.

Find LCM of 748,482,174,120,458 with Prime Factorization

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

2 x 2 x 3 x 187 x 241 x 29 x 10 x 229 = 35914793640

Therefore, the lowest common multiple of 748,482,174,120,458 is 35914793640.

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 482 x 174 x 120 x 458 = 3447820189440

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

482 : 1, 2, 241, 482

174 : 1, 2, 3, 6, 29, 58, 87, 174

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,482,174,120,458, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

482:2x 241

174:2x 3x 29

120:2x 2x 2x 3x 5

458:2x 229

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 3 = 48

Therefore, the value for common factors is 48.

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 = 3447820189440/(2x48)

LCM = 3447820189440/96

LCM = 35914793640

Thus, we can understand that the LCM of 748,482,174,120,458 is 35914793640.

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

• LCM of 879, 683, 929, 241, 375
• LCM of 632, 115, 837, 846, 721
• LCM of 812, 428, 789, 316, 224
• LCM of 311, 333, 479, 171, 763
• LCM of 752, 645, 659, 914, 876

1. What is the LCM of 748, 482, 174, 120, 458?

Answer: LCM of 748, 482, 174, 120, 458 is 35914793640.

2. How to calculate the LCM of 748, 482, 174, 120, 458?

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, 482, 174, 120, 458.

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}.