Given numbers are 574,710,780,850

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

The LCM of 574,710,780,850 is 1350995100.

Find LCM of 574,710,780,850 with Prime Factorization

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

2 x 5 x 287 x 71 x 78 x 85 = 1350995100

Therefore, the lowest common multiple of 574,710,780,850 is 1350995100.

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.

574 x 710 x 780 x 850 = 270199020000

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.

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

710 : 1, 2, 5, 10, 71, 142, 355, 710

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,710,780,850, is 2.

Now, the common factors can be found like this.

574:2x 7x 41

710:2x 5x 71

780:2x 2x 3x 5x 13

850:2x 5x 5x 17

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 270199020000/(2x100)

LCM = 270199020000/200

LCM = 1350995100

Thus, we can understand that the LCM of 574,710,780,850 is 1350995100.

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

• LCM of 663, 296, 408, 454
• LCM of 944, 749, 103, 607
• LCM of 530, 789, 205, 960
• LCM of 875, 308, 223, 736
• LCM of 342, 564, 508, 462

1. What is the LCM of 574, 710, 780, 850?

Answer: LCM of 574, 710, 780, 850 is 1350995100.

2. How to calculate the LCM of 574, 710, 780, 850?

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 574, 710, 780, 850.

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}.