Given numbers are 789,720,973,574

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

The LCM of 789,720,973,574 is 7554138480.

Find LCM of 789,720,973,574 with Prime Factorization

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

2 x 3 x 7 x 263 x 120 x 139 x 41 = 7554138480

Therefore, the lowest common multiple of 789,720,973,574 is 7554138480.

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.

789 x 720 x 973 x 574 = 317273816160

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.

789 : 1, 3, 263, 789

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

973 : 1, 7, 139, 973

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,720,973,574, is 1.

Now, the common factors can be found like this.

789:3x 263

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

973:7x 139

574:2x 7x 41

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 7 = 42

Therefore, the value for common factors is 42.

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 = 317273816160/(1x42)

LCM = 317273816160/42

LCM = 7554138480

Thus, we can understand that the LCM of 789,720,973,574 is 7554138480.

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

• LCM of 748, 896, 533, 161
• LCM of 390, 728, 170, 450
• LCM of 505, 907, 923, 920
• LCM of 975, 609, 103, 844
• LCM of 492, 108, 697, 554

1. What is the LCM of 789, 720, 973, 574?

Answer: LCM of 789, 720, 973, 574 is 7554138480.

2. How to calculate the LCM of 789, 720, 973, 574?

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 789, 720, 973, 574.

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}.