Given numbers are 720,326,313,541,504

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

The LCM of 720,326,313,541,504 is 139110446160.

Find LCM of 720,326,313,541,504 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 10 x 163 x 313 x 541 x 7 = 139110446160

Therefore, the lowest common multiple of 720,326,313,541,504 is 139110446160.

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.

720 x 326 x 313 x 541 x 504 = 20031904247040

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

326 : 1, 2, 163, 326

313 : 1, 313

541 : 1, 541

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,326,313,541,504, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

326:2x 163

313:313

541:541

504:2x 2x 2x 3x 3x 7

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 20031904247040/(1x144)

LCM = 20031904247040/144

LCM = 139110446160

Thus, we can understand that the LCM of 720,326,313,541,504 is 139110446160.

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

• LCM of 816, 672, 161, 990, 280
• LCM of 653, 353, 655, 815, 812
• LCM of 458, 997, 391, 632, 521
• LCM of 623, 398, 620, 395, 208
• LCM of 451, 630, 637, 948, 270

1. What is the LCM of 720, 326, 313, 541, 504?

Answer: LCM of 720, 326, 313, 541, 504 is 139110446160.

2. How to calculate the LCM of 720, 326, 313, 541, 504?

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 720, 326, 313, 541, 504.

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}.