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LCM of 802, 403, 226, 159

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


Find the LCM of 802, 403, 226, 159 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 802, 403, 226, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,403,226,159

Given numbers are 802,403,226,159

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

The LCM of 802,403,226,159 is 5807042202.

Find LCM of 802,403,226,159 with Prime Factorization


2 802, 403, 226, 159
401, 403, 113, 159

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

2 x 401 x 403 x 113 x 159 = 5807042202

Therefore, the lowest common multiple of 802,403,226,159 is 5807042202.

LCM Formula to Find Lowest Common Multiple of 802,403,226,159

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.

802 x 403 x 226 x 159 = 11614084404

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.

802 : 1, 2, 401, 802

403 : 1, 13, 31, 403

226 : 1, 2, 113, 226

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,403,226,159, is 1.

Now, the common factors can be found like this.

802:2x 401

403:13x 31

226:2x 113

159:3x 53

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 = 11614084404/(1x2)

LCM = 11614084404/2

LCM = 5807042202

Thus, we can understand that the LCM of 802,403,226,159 is 5807042202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 403, 226, 159

1. What is the LCM of 802, 403, 226, 159?

Answer: LCM of 802, 403, 226, 159 is 5807042202.

2. How to calculate the LCM of 802, 403, 226, 159?

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 802, 403, 226, 159.

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}.