Given numbers are 730,720,291,973,345

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

The LCM of 730,720,291,973,345 is 114095303280.

Find LCM of 730,720,291,973,345 with Prime Factorization

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

2 x 3 x 5 x 73 x 24 x 97 x 973 x 23 = 114095303280

Therefore, the lowest common multiple of 730,720,291,973,345 is 114095303280.

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.

730 x 720 x 291 x 973 x 345 = 51342886476000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

291 : 1, 3, 97, 291

973 : 1, 7, 139, 973

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,720,291,973,345, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

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

291:3x 97

973:7x 139

345:3x 5x 23

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 51342886476000/(1x450)

LCM = 51342886476000/450

LCM = 114095303280

Thus, we can understand that the LCM of 730,720,291,973,345 is 114095303280.

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

• LCM of 839, 928, 595, 210, 326
• LCM of 583, 592, 528, 643, 866
• LCM of 202, 659, 843, 912, 417
• LCM of 830, 307, 702, 738, 793
• LCM of 689, 299, 676, 794, 648

1. What is the LCM of 730, 720, 291, 973, 345?

Answer: LCM of 730, 720, 291, 973, 345 is 114095303280.

2. How to calculate the LCM of 730, 720, 291, 973, 345?

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 730, 720, 291, 973, 345.

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}.