Given numbers are 401,726,742

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

The LCM of 401,726,742 is 108007746.

Find LCM of 401,726,742 with Prime Factorization

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

2 x 401 x 363 x 371 = 108007746

Therefore, the lowest common multiple of 401,726,742 is 108007746.

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.

401 x 726 x 742 = 216015492

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.

401 : 1, 401

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,726,742, is 1.

Now, the common factors can be found like this.

401:401

726:2x 3x 11x 11

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 216015492/(1x2)

LCM = 216015492/2

LCM = 108007746

Thus, we can understand that the LCM of 401,726,742 is 108007746.

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

• LCM of 233, 326, 757
• LCM of 595, 404, 452
• LCM of 441, 391, 708
• LCM of 368, 727, 892
• LCM of 633, 168, 892

1. What is the LCM of 401, 726, 742?

Answer: LCM of 401, 726, 742 is 108007746.

2. How to calculate the LCM of 401, 726, 742?

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 401, 726, 742.

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}.