Given numbers are 367,118,214,132

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

The LCM of 367,118,214,132 is 305826972.

Find LCM of 367,118,214,132 with Prime Factorization

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

2 x 367 x 59 x 107 x 66 = 305826972

Therefore, the lowest common multiple of 367,118,214,132 is 305826972.

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.

367 x 118 x 214 x 132 = 1223307888

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.

367 : 1, 367

118 : 1, 2, 59, 118

214 : 1, 2, 107, 214

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,118,214,132, is 1.

Now, the common factors can be found like this.

367:367

118:2x 59

214:2x 107

132:2x 2x 3x 11

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 = 1223307888/(1x4)

LCM = 1223307888/4

LCM = 305826972

Thus, we can understand that the LCM of 367,118,214,132 is 305826972.

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

• LCM of 676, 603, 922, 805
• LCM of 996, 145, 501, 393
• LCM of 651, 764, 963, 385
• LCM of 394, 591, 992, 917
• LCM of 942, 528, 322, 501

1. What is the LCM of 367, 118, 214, 132?

Answer: LCM of 367, 118, 214, 132 is 305826972.

2. How to calculate the LCM of 367, 118, 214, 132?

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 367, 118, 214, 132.

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}.