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LCM of 432, 101, 202, 923

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


Find the LCM of 432, 101, 202, 923 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 432, 101, 202, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,101,202,923

Given numbers are 432,101,202,923

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

The LCM of 432,101,202,923 is 40272336.

Find LCM of 432,101,202,923 with Prime Factorization


2 432, 101, 202, 923
101 216, 101, 101, 923
216, 1, 1, 923

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

2 x 101 x 216 x 1 x 1 x 923 = 40272336

Therefore, the lowest common multiple of 432,101,202,923 is 40272336.

LCM Formula to Find Lowest Common Multiple of 432,101,202,923

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.

432 x 101 x 202 x 923 = 8135011872

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.

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

101 : 1, 101

202 : 1, 2, 101, 202

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,101,202,923, is 1.

Now, the common factors can be found like this.

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

101:101

202:2x 101

923:13x 71

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

2x 101 = 202

Therefore, the value for common factors is 202.

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 = 8135011872/(1x202)

LCM = 8135011872/202

LCM = 40272336

Thus, we can understand that the LCM of 432,101,202,923 is 40272336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 101, 202, 923

1. What is the LCM of 432, 101, 202, 923?

Answer: LCM of 432, 101, 202, 923 is 40272336.

2. How to calculate the LCM of 432, 101, 202, 923?

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 432, 101, 202, 923.

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}.