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LCM of 406, 363, 344, 968

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


Find the LCM of 406, 363, 344, 968 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 406, 363, 344, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,363,344,968

Given numbers are 406,363,344,968

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

The LCM of 406,363,344,968 is 25349016.

Find LCM of 406,363,344,968 with Prime Factorization


2 406, 363, 344, 968
2 203, 363, 172, 484
2 203, 363, 86, 242
11 203, 363, 43, 121
11 203, 33, 43, 11
203, 3, 43, 1

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

2 x 2 x 2 x 11 x 11 x 203 x 3 x 43 x 1 = 25349016

Therefore, the lowest common multiple of 406,363,344,968 is 25349016.

LCM Formula to Find Lowest Common Multiple of 406,363,344,968

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.

406 x 363 x 344 x 968 = 49075694976

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

363 : 1, 3, 11, 33, 121, 363

344 : 1, 2, 4, 8, 43, 86, 172, 344

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,363,344,968, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

363:3x 11x 11

344:2x 2x 2x 43

968:2x 2x 2x 11x 11

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

2x 2x 2x 2x 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 49075694976/(1x1936)

LCM = 49075694976/1936

LCM = 25349016

Thus, we can understand that the LCM of 406,363,344,968 is 25349016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 363, 344, 968

1. What is the LCM of 406, 363, 344, 968?

Answer: LCM of 406, 363, 344, 968 is 25349016.

2. How to calculate the LCM of 406, 363, 344, 968?

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 406, 363, 344, 968.

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}.