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LCM of 502, 226, 963, 104

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


Find the LCM of 502, 226, 963, 104 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 502, 226, 963, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,226,963,104

Given numbers are 502,226,963,104

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

The LCM of 502,226,963,104 is 2840611176.

Find LCM of 502,226,963,104 with Prime Factorization


2 502, 226, 963, 104
251, 113, 963, 52

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

2 x 251 x 113 x 963 x 52 = 2840611176

Therefore, the lowest common multiple of 502,226,963,104 is 2840611176.

LCM Formula to Find Lowest Common Multiple of 502,226,963,104

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.

502 x 226 x 963 x 104 = 11362444704

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.

502 : 1, 2, 251, 502

226 : 1, 2, 113, 226

963 : 1, 3, 9, 107, 321, 963

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,226,963,104, is 1.

Now, the common factors can be found like this.

502:2x 251

226:2x 113

963:3x 3x 107

104:2x 2x 2x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11362444704/(1x4)

LCM = 11362444704/4

LCM = 2840611176

Thus, we can understand that the LCM of 502,226,963,104 is 2840611176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 226, 963, 104

1. What is the LCM of 502, 226, 963, 104?

Answer: LCM of 502, 226, 963, 104 is 2840611176.

2. How to calculate the LCM of 502, 226, 963, 104?

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 502, 226, 963, 104.

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}.