Given numbers are 574,770,414,854,424

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

The LCM of 574,770,414,854,424 is 84510490680.

Find LCM of 574,770,414,854,424 with Prime Factorization

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

2 x 7 x 41 x 55 x 207 x 61 x 212 = 84510490680

Therefore, the lowest common multiple of 574,770,414,854,424 is 84510490680.

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 770 x 414 x 854 x 424 = 66256224693120

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

854 : 1, 2, 7, 14, 61, 122, 427, 854

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,770,414,854,424, is 2.

Now, the common factors can be found like this.

574:2x 7x 41

770:2x 5x 7x 11

414:2x 3x 3x 23

854:2x 7x 61

424:2x 2x 2x 53

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 66256224693120/(2x392)

LCM = 66256224693120/784

LCM = 84510490680

Thus, we can understand that the LCM of 574,770,414,854,424 is 84510490680.

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

• LCM of 972, 834, 727, 992, 349
• LCM of 773, 648, 524, 494, 614
• LCM of 108, 383, 538, 151, 628
• LCM of 547, 111, 319, 848, 118
• LCM of 866, 917, 918, 515, 898

1. What is the LCM of 574, 770, 414, 854, 424?

Answer: LCM of 574, 770, 414, 854, 424 is 84510490680.

2. How to calculate the LCM of 574, 770, 414, 854, 424?

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, 770, 414, 854, 424.

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}.