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LCM of 181, 628, 948, 648

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


Find the LCM of 181, 628, 948, 648 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 181, 628, 948, 648. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 181,628,948,648

Given numbers are 181,628,948,648

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

The LCM of 181,628,948,648 is 1454723064.

Find LCM of 181,628,948,648 with Prime Factorization


2 181, 628, 948, 648
2 181, 314, 474, 324
3 181, 157, 237, 162
181, 157, 79, 54

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

2 x 2 x 3 x 181 x 157 x 79 x 54 = 1454723064

Therefore, the lowest common multiple of 181,628,948,648 is 1454723064.

LCM Formula to Find Lowest Common Multiple of 181,628,948,648

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.

181 x 628 x 948 x 648 = 69826707072

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.

181 : 1, 181

628 : 1, 2, 4, 157, 314, 628

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,628,948,648, is 1.

Now, the common factors can be found like this.

181:181

628:2x 2x 157

948:2x 2x 3x 79

648:2x 2x 2x 3x 3x 3x 3

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 69826707072/(1x48)

LCM = 69826707072/48

LCM = 1454723064

Thus, we can understand that the LCM of 181,628,948,648 is 1454723064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 181, 628, 948, 648

1. What is the LCM of 181, 628, 948, 648?

Answer: LCM of 181, 628, 948, 648 is 1454723064.

2. How to calculate the LCM of 181, 628, 948, 648?

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 181, 628, 948, 648.

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}.