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LCM of 229, 133, 753, 295, 304

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


Find the LCM of 229, 133, 753, 295, 304 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 229, 133, 753, 295, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,133,753,295,304

Given numbers are 229,133,753,295,304

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

The LCM of 229,133,753,295,304 is 108249051120.

Find LCM of 229,133,753,295,304 with Prime Factorization


19 229, 133, 753, 295, 304
229, 7, 753, 295, 16

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

19 x 229 x 7 x 753 x 295 x 16 = 108249051120

Therefore, the lowest common multiple of 229,133,753,295,304 is 108249051120.

LCM Formula to Find Lowest Common Multiple of 229,133,753,295,304

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.

229 x 133 x 753 x 295 x 304 = 2056731971280

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.

229 : 1, 229

133 : 1, 7, 19, 133

753 : 1, 3, 251, 753

295 : 1, 5, 59, 295

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,133,753,295,304, is 1.

Now, the common factors can be found like this.

229:229

133:7x 19

753:3x 251

295:5x 59

304:2x 2x 2x 2x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 2056731971280/(1x19)

LCM = 2056731971280/19

LCM = 108249051120

Thus, we can understand that the LCM of 229,133,753,295,304 is 108249051120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 133, 753, 295, 304

1. What is the LCM of 229, 133, 753, 295, 304?

Answer: LCM of 229, 133, 753, 295, 304 is 108249051120.

2. How to calculate the LCM of 229, 133, 753, 295, 304?

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 229, 133, 753, 295, 304.

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}.