Given numbers are 720,178,345,791

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

The LCM of 720,178,345,791 is 1165807440.

Find LCM of 720,178,345,791 with Prime Factorization

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

2 x 3 x 5 x 24 x 89 x 23 x 791 = 1165807440

Therefore, the lowest common multiple of 720,178,345,791 is 1165807440.

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 178 x 345 x 791 = 34974223200

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

178 : 1, 2, 89, 178

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

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,178,345,791, is 1.

Now, the common factors can be found like this.

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

178:2x 89

345:3x 5x 23

791:7x 113

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 5 = 30

Therefore, the value for common factors is 30.

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 = 34974223200/(1x30)

LCM = 34974223200/30

LCM = 1165807440

Thus, we can understand that the LCM of 720,178,345,791 is 1165807440.

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

• LCM of 497, 373, 938, 588
• LCM of 456, 463, 806, 180
• LCM of 757, 222, 430, 106
• LCM of 255, 701, 853, 323
• LCM of 899, 565, 568, 657

1. What is the LCM of 720, 178, 345, 791?

Answer: LCM of 720, 178, 345, 791 is 1165807440.

2. How to calculate the LCM of 720, 178, 345, 791?

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, 178, 345, 791.

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}.