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LCM of 211, 485, 583, 106

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


Find the LCM of 211, 485, 583, 106 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 211, 485, 583, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,485,583,106

Given numbers are 211,485,583,106

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

The LCM of 211,485,583,106 is 119322610.

Find LCM of 211,485,583,106 with Prime Factorization


53 211, 485, 583, 106
211, 485, 11, 2

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

53 x 211 x 485 x 11 x 2 = 119322610

Therefore, the lowest common multiple of 211,485,583,106 is 119322610.

LCM Formula to Find Lowest Common Multiple of 211,485,583,106

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.

211 x 485 x 583 x 106 = 6324098330

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.

211 : 1, 211

485 : 1, 5, 97, 485

583 : 1, 11, 53, 583

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,485,583,106, is 1.

Now, the common factors can be found like this.

211:211

485:5x 97

583:11x 53

106:2x 53

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

53 = 53

Therefore, the value for common factors is 53.

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 = 6324098330/(1x53)

LCM = 6324098330/53

LCM = 119322610

Thus, we can understand that the LCM of 211,485,583,106 is 119322610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 485, 583, 106

1. What is the LCM of 211, 485, 583, 106?

Answer: LCM of 211, 485, 583, 106 is 119322610.

2. How to calculate the LCM of 211, 485, 583, 106?

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 211, 485, 583, 106.

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}.