Given numbers are 749,412,390,206,703

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

The LCM of 749,412,390,206,703 is 42302785980.

Find LCM of 749,412,390,206,703 with Prime Factorization

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

2 x 103 x 749 x 2 x 195 x 1 x 703 = 42302785980

Therefore, the lowest common multiple of 749,412,390,206,703 is 42302785980.

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.

749 x 412 x 390 x 206 x 703 = 17428747823760

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.

749 : 1, 7, 107, 749

412 : 1, 2, 4, 103, 206, 412

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

206 : 1, 2, 103, 206

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,412,390,206,703, is 1.

Now, the common factors can be found like this.

749:7x 107

412:2x 2x 103

390:2x 3x 5x 13

206:2x 103

703:19x 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 103 = 412

Therefore, the value for common factors is 412.

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 = 17428747823760/(1x412)

LCM = 17428747823760/412

LCM = 42302785980

Thus, we can understand that the LCM of 749,412,390,206,703 is 42302785980.

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

• LCM of 229, 524, 471, 371, 772
• LCM of 807, 636, 618, 556, 606
• LCM of 560, 316, 614, 115, 211
• LCM of 757, 413, 325, 224, 173
• LCM of 799, 388, 899, 383, 270

1. What is the LCM of 749, 412, 390, 206, 703?

Answer: LCM of 749, 412, 390, 206, 703 is 42302785980.

2. How to calculate the LCM of 749, 412, 390, 206, 703?

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 749, 412, 390, 206, 703.

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}.