Given numbers are 746,138,174,629

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

The LCM of 746,138,174,629 is 938937234.

Find LCM of 746,138,174,629 with Prime Factorization

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

2 x 3 x 373 x 23 x 29 x 629 = 938937234

Therefore, the lowest common multiple of 746,138,174,629 is 938937234.

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.

746 x 138 x 174 x 629 = 11267246808

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.

746 : 1, 2, 373, 746

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,138,174,629, is 1.

Now, the common factors can be found like this.

746:2x 373

138:2x 3x 23

174:2x 3x 29

629:17x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 11267246808/(1x12)

LCM = 11267246808/12

LCM = 938937234

Thus, we can understand that the LCM of 746,138,174,629 is 938937234.

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

• LCM of 439, 613, 440, 785
• LCM of 679, 295, 382, 716
• LCM of 606, 423, 678, 463
• LCM of 659, 410, 656, 477
• LCM of 380, 309, 867, 690

1. What is the LCM of 746, 138, 174, 629?

Answer: LCM of 746, 138, 174, 629 is 938937234.

2. How to calculate the LCM of 746, 138, 174, 629?

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 746, 138, 174, 629.

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}.