Given numbers are 785,35,414

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

The LCM of 785,35,414 is 2274930.

Find LCM of 785,35,414 with Prime Factorization

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

5 x 157 x 7 x 414 = 2274930

Therefore, the lowest common multiple of 785,35,414 is 2274930.

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.

785 x 35 x 414 = 11374650

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.

785 : 1, 5, 157, 785

35 : 1, 5, 7, 35

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,35,414, is 1.

Now, the common factors can be found like this.

785:5x 157

35:5x 7

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 11374650/(1x5)

LCM = 11374650/5

LCM = 2274930

Thus, we can understand that the LCM of 785,35,414 is 2274930.

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

• LCM of 229, 90, 957
• LCM of 808, 77, 919
• LCM of 756, 24, 369
• LCM of 336, 84, 334
• LCM of 930, 97, 762

1. What is the LCM of 785, 35, 414?

Answer: LCM of 785, 35, 414 is 2274930.

2. How to calculate the LCM of 785, 35, 414?

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 785, 35, 414.

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}.