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LCM of 158, 444, 318, 888

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 158, 444, 318, 888 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 158, 444, 318, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 158,444,318,888

Given numbers are 158,444,318,888

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

The LCM of 158,444,318,888 is 3718056.

Find LCM of 158,444,318,888 with Prime Factorization


2 158, 444, 318, 888
2 79, 222, 159, 444
3 79, 111, 159, 222
37 79, 37, 53, 74
79, 1, 53, 2

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

2 x 2 x 3 x 37 x 79 x 1 x 53 x 2 = 3718056

Therefore, the lowest common multiple of 158,444,318,888 is 3718056.

LCM Formula to Find Lowest Common Multiple of 158,444,318,888

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.

158 x 444 x 318 x 888 = 19809802368

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.

158 : 1, 2, 79, 158

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

318 : 1, 2, 3, 6, 53, 106, 159, 318

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,444,318,888, is 2.

Now, the common factors can be found like this.

158:2x 79

444:2x 2x 3x 37

318:2x 3x 53

888:2x 2x 2x 3x 37

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

2x 2x 2x 3x 3x 37 = 2664

Therefore, the value for common factors is 2664.

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 = 19809802368/(2x2664)

LCM = 19809802368/5328

LCM = 3718056

Thus, we can understand that the LCM of 158,444,318,888 is 3718056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 158, 444, 318, 888

1. What is the LCM of 158, 444, 318, 888?

Answer: LCM of 158, 444, 318, 888 is 3718056.

2. How to calculate the LCM of 158, 444, 318, 888?

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 158, 444, 318, 888.

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}.