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LCM of 232, 850, 655, 321

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


Find the LCM of 232, 850, 655, 321 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, 850, 655, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,850,655,321

Given numbers are 232,850,655,321

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

The LCM of 232,850,655,321 is 4146228600.

Find LCM of 232,850,655,321 with Prime Factorization


2 232, 850, 655, 321
5 116, 425, 655, 321
116, 85, 131, 321

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

2 x 5 x 116 x 85 x 131 x 321 = 4146228600

Therefore, the lowest common multiple of 232,850,655,321 is 4146228600.

LCM Formula to Find Lowest Common Multiple of 232,850,655,321

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 850 x 655 x 321 = 41462286000

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

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

655 : 1, 5, 131, 655

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,850,655,321, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

850:2x 5x 5x 17

655:5x 131

321:3x 107

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 41462286000/(1x10)

LCM = 41462286000/10

LCM = 4146228600

Thus, we can understand that the LCM of 232,850,655,321 is 4146228600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 850, 655, 321

1. What is the LCM of 232, 850, 655, 321?

Answer: LCM of 232, 850, 655, 321 is 4146228600.

2. How to calculate the LCM of 232, 850, 655, 321?

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, 850, 655, 321.

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}.