Given numbers are 746,746,414,221

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

The LCM of 746,746,414,221 is 34127262.

Find LCM of 746,746,414,221 with Prime Factorization

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

2 x 373 x 1 x 1 x 207 x 221 = 34127262

Therefore, the lowest common multiple of 746,746,414,221 is 34127262.

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 746 x 414 x 221 = 50917874904

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

746 : 1, 2, 373, 746

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,746,414,221, is 1.

Now, the common factors can be found like this.

746:2x 373

746:2x 373

414:2x 3x 3x 23

221:13x 17

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 373 = 1492

Therefore, the value for common factors is 1492.

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 = 50917874904/(1x1492)

LCM = 50917874904/1492

LCM = 34127262

Thus, we can understand that the LCM of 746,746,414,221 is 34127262.

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

• LCM of 231, 785, 473, 335
• LCM of 256, 830, 315, 614
• LCM of 859, 916, 273, 877
• LCM of 365, 167, 423, 637
• LCM of 382, 426, 582, 550

1. What is the LCM of 746, 746, 414, 221?

Answer: LCM of 746, 746, 414, 221 is 34127262.

2. How to calculate the LCM of 746, 746, 414, 221?

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, 746, 414, 221.

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}.