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LCM of 217, 689, 106, 701

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


Find the LCM of 217, 689, 106, 701 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 217, 689, 106, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,689,106,701

Given numbers are 217,689,106,701

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

The LCM of 217,689,106,701 is 209617226.

Find LCM of 217,689,106,701 with Prime Factorization


53 217, 689, 106, 701
217, 13, 2, 701

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

53 x 217 x 13 x 2 x 701 = 209617226

Therefore, the lowest common multiple of 217,689,106,701 is 209617226.

LCM Formula to Find Lowest Common Multiple of 217,689,106,701

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.

217 x 689 x 106 x 701 = 11109712978

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.

217 : 1, 7, 31, 217

689 : 1, 13, 53, 689

106 : 1, 2, 53, 106

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,689,106,701, is 1.

Now, the common factors can be found like this.

217:7x 31

689:13x 53

106:2x 53

701:701

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 = 11109712978/(1x53)

LCM = 11109712978/53

LCM = 209617226

Thus, we can understand that the LCM of 217,689,106,701 is 209617226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 689, 106, 701

1. What is the LCM of 217, 689, 106, 701?

Answer: LCM of 217, 689, 106, 701 is 209617226.

2. How to calculate the LCM of 217, 689, 106, 701?

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 217, 689, 106, 701.

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}.