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LCM of 232, 652, 464, 841

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


Find the LCM of 232, 652, 464, 841 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 232, 652, 464, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,652,464,841

Given numbers are 232,652,464,841

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

The LCM of 232,652,464,841 is 2193328.

Find LCM of 232,652,464,841 with Prime Factorization


2 232, 652, 464, 841
2 116, 326, 232, 841
2 58, 163, 116, 841
29 29, 163, 58, 841
1, 163, 2, 29

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

2 x 2 x 2 x 29 x 1 x 163 x 2 x 29 = 2193328

Therefore, the lowest common multiple of 232,652,464,841 is 2193328.

LCM Formula to Find Lowest Common Multiple of 232,652,464,841

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.

232 x 652 x 464 x 841 = 59026843136

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

652 : 1, 2, 4, 163, 326, 652

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,652,464,841, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

652:2x 2x 163

464:2x 2x 2x 2x 29

841:29x 29

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 2x 29x 29 = 26912

Therefore, the value for common factors is 26912.

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 = 59026843136/(1x26912)

LCM = 59026843136/26912

LCM = 2193328

Thus, we can understand that the LCM of 232,652,464,841 is 2193328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 652, 464, 841

1. What is the LCM of 232, 652, 464, 841?

Answer: LCM of 232, 652, 464, 841 is 2193328.

2. How to calculate the LCM of 232, 652, 464, 841?

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 232, 652, 464, 841.

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}.