Given numbers are 385,575,717,35

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

The LCM of 385,575,717,35 is 31745175.

Find LCM of 385,575,717,35 with Prime Factorization

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

5 x 7 x 11 x 115 x 717 x 1 = 31745175

Therefore, the lowest common multiple of 385,575,717,35 is 31745175.

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.

385 x 575 x 717 x 35 = 5555405625

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

575 : 1, 5, 23, 25, 115, 575

717 : 1, 3, 239, 717

35 : 1, 5, 7, 35

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,575,717,35, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

575:5x 5x 23

717:3x 239

35:5x 7

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

5x 5x 7 = 175

Therefore, the value for common factors is 175.

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 = 5555405625/(1x175)

LCM = 5555405625/175

LCM = 31745175

Thus, we can understand that the LCM of 385,575,717,35 is 31745175.

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

• LCM of 634, 373, 597, 92
• LCM of 257, 998, 190, 62
• LCM of 516, 645, 717, 63
• LCM of 789, 754, 838, 53
• LCM of 248, 101, 567, 13

1. What is the LCM of 385, 575, 717, 35?

Answer: LCM of 385, 575, 717, 35 is 31745175.

2. How to calculate the LCM of 385, 575, 717, 35?

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 385, 575, 717, 35.

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}.