Given numbers are 720,840,345,750,788

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

The LCM of 720,840,345,750,788 is 570906000.

Find LCM of 720,840,345,750,788 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 6 x 7 x 23 x 25 x 197 = 570906000

Therefore, the lowest common multiple of 720,840,345,750,788 is 570906000.

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 840 x 345 x 750 x 788 = 123315696000000

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,840,345,750,788, is 1.

Now, the common factors can be found like this.

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

840:2x 2x 2x 3x 5x 7

345:3x 5x 23

750:2x 3x 5x 5x 5

788:2x 2x 197

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 2x 2x 3x 3x 3x 5x 5x 5 = 216000

Therefore, the value for common factors is 216000.

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 = 123315696000000/(1x216000)

LCM = 123315696000000/216000

LCM = 570906000

Thus, we can understand that the LCM of 720,840,345,750,788 is 570906000.

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

• LCM of 662, 908, 701, 897, 176
• LCM of 818, 942, 883, 148, 281
• LCM of 718, 518, 778, 474, 392
• LCM of 505, 194, 177, 483, 392
• LCM of 979, 543, 250, 749, 629

1. What is the LCM of 720, 840, 345, 750, 788?

Answer: LCM of 720, 840, 345, 750, 788 is 570906000.

2. How to calculate the LCM of 720, 840, 345, 750, 788?

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, 840, 345, 750, 788.

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}.