Given numbers are 301,270,119,247,952

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

The LCM of 301,270,119,247,952 is 1365010920.

Find LCM of 301,270,119,247,952 with Prime Factorization

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

2 x 7 x 17 x 43 x 135 x 1 x 247 x 4 = 1365010920

Therefore, the lowest common multiple of 301,270,119,247,952 is 1365010920.

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.

301 x 270 x 119 x 247 x 952 = 2274108192720

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.

301 : 1, 7, 43, 301

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

119 : 1, 7, 17, 119

247 : 1, 13, 19, 247

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,270,119,247,952, is 1.

Now, the common factors can be found like this.

301:7x 43

270:2x 3x 3x 3x 5

119:7x 17

247:13x 19

952:2x 2x 2x 7x 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 7x 7x 17 = 1666

Therefore, the value for common factors is 1666.

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 = 2274108192720/(1x1666)

LCM = 2274108192720/1666

LCM = 1365010920

Thus, we can understand that the LCM of 301,270,119,247,952 is 1365010920.

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

• LCM of 966, 177, 680, 164, 162
• LCM of 667, 605, 504, 388, 270
• LCM of 700, 513, 350, 392, 611
• LCM of 874, 985, 722, 530, 194
• LCM of 561, 228, 638, 584, 593

1. What is the LCM of 301, 270, 119, 247, 952?

Answer: LCM of 301, 270, 119, 247, 952 is 1365010920.

2. How to calculate the LCM of 301, 270, 119, 247, 952?

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 301, 270, 119, 247, 952.

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}.