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LCM of 965, 800, 701, 209

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


Find the LCM of 965, 800, 701, 209 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 965, 800, 701, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,800,701,209

Given numbers are 965,800,701,209

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

The LCM of 965,800,701,209 is 22620989600.

Find LCM of 965,800,701,209 with Prime Factorization


5 965, 800, 701, 209
193, 160, 701, 209

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

5 x 193 x 160 x 701 x 209 = 22620989600

Therefore, the lowest common multiple of 965,800,701,209 is 22620989600.

LCM Formula to Find Lowest Common Multiple of 965,800,701,209

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.

965 x 800 x 701 x 209 = 113104948000

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.

965 : 1, 5, 193, 965

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

701 : 1, 701

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,800,701,209, is 1.

Now, the common factors can be found like this.

965:5x 193

800:2x 2x 2x 2x 2x 5x 5

701:701

209:11x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 113104948000/(1x5)

LCM = 113104948000/5

LCM = 22620989600

Thus, we can understand that the LCM of 965,800,701,209 is 22620989600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 800, 701, 209

1. What is the LCM of 965, 800, 701, 209?

Answer: LCM of 965, 800, 701, 209 is 22620989600.

2. How to calculate the LCM of 965, 800, 701, 209?

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 965, 800, 701, 209.

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}.