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LCM of 311, 624, 147, 148

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


Find the LCM of 311, 624, 147, 148 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 311, 624, 147, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,624,147,148

Given numbers are 311,624,147,148

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

The LCM of 311,624,147,148 is 351838032.

Find LCM of 311,624,147,148 with Prime Factorization


2 311, 624, 147, 148
2 311, 312, 147, 74
3 311, 156, 147, 37
311, 52, 49, 37

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

2 x 2 x 3 x 311 x 52 x 49 x 37 = 351838032

Therefore, the lowest common multiple of 311,624,147,148 is 351838032.

LCM Formula to Find Lowest Common Multiple of 311,624,147,148

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.

311 x 624 x 147 x 148 = 4222056384

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.

311 : 1, 311

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

147 : 1, 3, 7, 21, 49, 147

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,624,147,148, is 1.

Now, the common factors can be found like this.

311:311

624:2x 2x 2x 2x 3x 13

147:3x 7x 7

148:2x 2x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 4222056384/(1x12)

LCM = 4222056384/12

LCM = 351838032

Thus, we can understand that the LCM of 311,624,147,148 is 351838032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 624, 147, 148

1. What is the LCM of 311, 624, 147, 148?

Answer: LCM of 311, 624, 147, 148 is 351838032.

2. How to calculate the LCM of 311, 624, 147, 148?

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 311, 624, 147, 148.

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}.