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LCM of 212, 207, 166, 701, 546

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


Find the LCM of 212, 207, 166, 701, 546 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 212, 207, 166, 701, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,207,166,701,546

Given numbers are 212,207,166,701,546

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

The LCM of 212,207,166,701,546 is 232350552252.

Find LCM of 212,207,166,701,546 with Prime Factorization


2 212, 207, 166, 701, 546
3 106, 207, 83, 701, 273
106, 69, 83, 701, 91

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

2 x 3 x 106 x 69 x 83 x 701 x 91 = 232350552252

Therefore, the lowest common multiple of 212,207,166,701,546 is 232350552252.

LCM Formula to Find Lowest Common Multiple of 212,207,166,701,546

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.

212 x 207 x 166 x 701 x 546 = 2788206627024

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.

212 : 1, 2, 4, 53, 106, 212

207 : 1, 3, 9, 23, 69, 207

166 : 1, 2, 83, 166

701 : 1, 701

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,207,166,701,546, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

207:3x 3x 23

166:2x 83

701:701

546:2x 3x 7x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 2788206627024/(1x12)

LCM = 2788206627024/12

LCM = 232350552252

Thus, we can understand that the LCM of 212,207,166,701,546 is 232350552252.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 207, 166, 701, 546

1. What is the LCM of 212, 207, 166, 701, 546?

Answer: LCM of 212, 207, 166, 701, 546 is 232350552252.

2. How to calculate the LCM of 212, 207, 166, 701, 546?

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 212, 207, 166, 701, 546.

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}.