Given numbers are 241,714,814

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

The LCM of 241,714,814 is 70034118.

Find LCM of 241,714,814 with Prime Factorization

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

2 x 241 x 357 x 407 = 70034118

Therefore, the lowest common multiple of 241,714,814 is 70034118.

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.

241 x 714 x 814 = 140068236

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.

241 : 1, 241

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,714,814, is 1.

Now, the common factors can be found like this.

241:241

714:2x 3x 7x 17

814:2x 11x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 140068236/(1x2)

LCM = 140068236/2

LCM = 70034118

Thus, we can understand that the LCM of 241,714,814 is 70034118.

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

• LCM of 499, 553, 852
• LCM of 317, 162, 161
• LCM of 300, 769, 918
• LCM of 511, 216, 484
• LCM of 636, 431, 421

1. What is the LCM of 241, 714, 814?

Answer: LCM of 241, 714, 814 is 70034118.

2. How to calculate the LCM of 241, 714, 814?

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 241, 714, 814.

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}.