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LCM of 106, 406, 557, 684

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


Find the LCM of 106, 406, 557, 684 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 106, 406, 557, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,406,557,684

Given numbers are 106,406,557,684

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

The LCM of 106,406,557,684 is 4099049892.

Find LCM of 106,406,557,684 with Prime Factorization


2 106, 406, 557, 684
53, 203, 557, 342

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

2 x 53 x 203 x 557 x 342 = 4099049892

Therefore, the lowest common multiple of 106,406,557,684 is 4099049892.

LCM Formula to Find Lowest Common Multiple of 106,406,557,684

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.

106 x 406 x 557 x 684 = 16396199568

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.

106 : 1, 2, 53, 106

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

557 : 1, 557

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,406,557,684, is 1.

Now, the common factors can be found like this.

106:2x 53

406:2x 7x 29

557:557

684:2x 2x 3x 3x 19

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 = 16396199568/(1x4)

LCM = 16396199568/4

LCM = 4099049892

Thus, we can understand that the LCM of 106,406,557,684 is 4099049892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 406, 557, 684

1. What is the LCM of 106, 406, 557, 684?

Answer: LCM of 106, 406, 557, 684 is 4099049892.

2. How to calculate the LCM of 106, 406, 557, 684?

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 106, 406, 557, 684.

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}.