Given numbers are 748,107,749,422,129

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

The LCM of 748,107,749,422,129 is 15249499188.

Find LCM of 748,107,749,422,129 with Prime Factorization

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

2 x 107 x 374 x 1 x 7 x 211 x 129 = 15249499188

Therefore, the lowest common multiple of 748,107,749,422,129 is 15249499188.

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 107 x 749 x 422 x 129 = 3263392826232

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

107 : 1, 107

749 : 1, 7, 107, 749

422 : 1, 2, 211, 422

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,107,749,422,129, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

107:107

749:7x 107

422:2x 211

129:3x 43

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 3263392826232/(1x214)

LCM = 3263392826232/214

LCM = 15249499188

Thus, we can understand that the LCM of 748,107,749,422,129 is 15249499188.

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

• LCM of 215, 382, 575, 965, 301
• LCM of 707, 124, 226, 984, 309
• LCM of 985, 482, 854, 702, 709
• LCM of 324, 912, 978, 203, 501
• LCM of 582, 271, 484, 947, 562

1. What is the LCM of 748, 107, 749, 422, 129?

Answer: LCM of 748, 107, 749, 422, 129 is 15249499188.

2. How to calculate the LCM of 748, 107, 749, 422, 129?

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, 107, 749, 422, 129.

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}.