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LCM of 341, 432, 923, 706

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


Find the LCM of 341, 432, 923, 706 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 341, 432, 923, 706. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,432,923,706

Given numbers are 341,432,923,706

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

The LCM of 341,432,923,706 is 47997048528.

Find LCM of 341,432,923,706 with Prime Factorization


2 341, 432, 923, 706
341, 216, 923, 353

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

2 x 341 x 216 x 923 x 353 = 47997048528

Therefore, the lowest common multiple of 341,432,923,706 is 47997048528.

LCM Formula to Find Lowest Common Multiple of 341,432,923,706

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.

341 x 432 x 923 x 706 = 95994097056

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.

341 : 1, 11, 31, 341

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

923 : 1, 13, 71, 923

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,432,923,706, is 1.

Now, the common factors can be found like this.

341:11x 31

432:2x 2x 2x 2x 3x 3x 3

923:13x 71

706:2x 353

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

2 = 2

Therefore, the value for common factors is 2.

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 = 95994097056/(1x2)

LCM = 95994097056/2

LCM = 47997048528

Thus, we can understand that the LCM of 341,432,923,706 is 47997048528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 432, 923, 706

1. What is the LCM of 341, 432, 923, 706?

Answer: LCM of 341, 432, 923, 706 is 47997048528.

2. How to calculate the LCM of 341, 432, 923, 706?

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 341, 432, 923, 706.

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}.