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LCM of 232, 457, 801, 341, 902

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


Find the LCM of 232, 457, 801, 341, 902 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, 457, 801, 341, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,457,801,341,902

Given numbers are 232,457,801,341,902

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

The LCM of 232,457,801,341,902 is 1187339556744.

Find LCM of 232,457,801,341,902 with Prime Factorization


2 232, 457, 801, 341, 902
11 116, 457, 801, 341, 451
116, 457, 801, 31, 41

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

2 x 11 x 116 x 457 x 801 x 31 x 41 = 1187339556744

Therefore, the lowest common multiple of 232,457,801,341,902 is 1187339556744.

LCM Formula to Find Lowest Common Multiple of 232,457,801,341,902

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 457 x 801 x 341 x 902 = 26121470248368

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

457 : 1, 457

801 : 1, 3, 9, 89, 267, 801

341 : 1, 11, 31, 341

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,457,801,341,902, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

457:457

801:3x 3x 89

341:11x 31

902:2x 11x 41

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 26121470248368/(1x22)

LCM = 26121470248368/22

LCM = 1187339556744

Thus, we can understand that the LCM of 232,457,801,341,902 is 1187339556744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 457, 801, 341, 902

1. What is the LCM of 232, 457, 801, 341, 902?

Answer: LCM of 232, 457, 801, 341, 902 is 1187339556744.

2. How to calculate the LCM of 232, 457, 801, 341, 902?

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, 457, 801, 341, 902.

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}.