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LCM of 437, 367, 841, 345, 232

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


Find the LCM of 437, 367, 841, 345, 232 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 437, 367, 841, 345, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,367,841,345,232

Given numbers are 437,367,841,345,232

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

The LCM of 437,367,841,345,232 is 16185448680.

Find LCM of 437,367,841,345,232 with Prime Factorization


23 437, 367, 841, 345, 232
29 19, 367, 841, 15, 232
19, 367, 29, 15, 8

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

23 x 29 x 19 x 367 x 29 x 15 x 8 = 16185448680

Therefore, the lowest common multiple of 437,367,841,345,232 is 16185448680.

LCM Formula to Find Lowest Common Multiple of 437,367,841,345,232

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.

437 x 367 x 841 x 345 x 232 = 10795694269560

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.

437 : 1, 19, 23, 437

367 : 1, 367

841 : 1, 29, 841

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,367,841,345,232, is 1.

Now, the common factors can be found like this.

437:19x 23

367:367

841:29x 29

345:3x 5x 23

232:2x 2x 2x 29

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

23x 29 = 667

Therefore, the value for common factors is 667.

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 = 10795694269560/(1x667)

LCM = 10795694269560/667

LCM = 16185448680

Thus, we can understand that the LCM of 437,367,841,345,232 is 16185448680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 367, 841, 345, 232

1. What is the LCM of 437, 367, 841, 345, 232?

Answer: LCM of 437, 367, 841, 345, 232 is 16185448680.

2. How to calculate the LCM of 437, 367, 841, 345, 232?

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 437, 367, 841, 345, 232.

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}.