Given numbers are 738,209,884,514

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

The LCM of 738,209,884,514 is 17520965748.

Find LCM of 738,209,884,514 with Prime Factorization

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

2 x 369 x 209 x 442 x 257 = 17520965748

Therefore, the lowest common multiple of 738,209,884,514 is 17520965748.

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.

738 x 209 x 884 x 514 = 70083862992

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

209 : 1, 11, 19, 209

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,209,884,514, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

209:11x 19

884:2x 2x 13x 17

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 70083862992/(1x4)

LCM = 70083862992/4

LCM = 17520965748

Thus, we can understand that the LCM of 738,209,884,514 is 17520965748.

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

• LCM of 538, 653, 229, 500
• LCM of 686, 442, 926, 858
• LCM of 182, 140, 415, 906
• LCM of 113, 687, 836, 360
• LCM of 495, 499, 635, 579

1. What is the LCM of 738, 209, 884, 514?

Answer: LCM of 738, 209, 884, 514 is 17520965748.

2. How to calculate the LCM of 738, 209, 884, 514?

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 738, 209, 884, 514.

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}.