Given numbers are 301,358,148,118

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

The LCM of 301,358,148,118 is 470471428.

Find LCM of 301,358,148,118 with Prime Factorization

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

2 x 301 x 179 x 74 x 59 = 470471428

Therefore, the lowest common multiple of 301,358,148,118 is 470471428.

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 358 x 148 x 118 = 1881885712

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

358 : 1, 2, 179, 358

148 : 1, 2, 4, 37, 74, 148

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,358,148,118, is 1.

Now, the common factors can be found like this.

301:7x 43

358:2x 179

148:2x 2x 37

118:2x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1881885712/(1x4)

LCM = 1881885712/4

LCM = 470471428

Thus, we can understand that the LCM of 301,358,148,118 is 470471428.

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

• LCM of 812, 543, 626, 169
• LCM of 978, 428, 142, 623
• LCM of 499, 422, 157, 978
• LCM of 532, 637, 838, 701
• LCM of 135, 197, 266, 909

1. What is the LCM of 301, 358, 148, 118?

Answer: LCM of 301, 358, 148, 118 is 470471428.

2. How to calculate the LCM of 301, 358, 148, 118?

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, 358, 148, 118.

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}.