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LCM of 209, 770, 607, 394

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


Find the LCM of 209, 770, 607, 394 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 209, 770, 607, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,770,607,394

Given numbers are 209,770,607,394

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

The LCM of 209,770,607,394 is 1749440770.

Find LCM of 209,770,607,394 with Prime Factorization


2 209, 770, 607, 394
11 209, 385, 607, 197
19, 35, 607, 197

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

2 x 11 x 19 x 35 x 607 x 197 = 1749440770

Therefore, the lowest common multiple of 209,770,607,394 is 1749440770.

LCM Formula to Find Lowest Common Multiple of 209,770,607,394

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.

209 x 770 x 607 x 394 = 38487696940

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.

209 : 1, 11, 19, 209

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

607 : 1, 607

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,770,607,394, is 1.

Now, the common factors can be found like this.

209:11x 19

770:2x 5x 7x 11

607:607

394:2x 197

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 38487696940/(1x22)

LCM = 38487696940/22

LCM = 1749440770

Thus, we can understand that the LCM of 209,770,607,394 is 1749440770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 770, 607, 394

1. What is the LCM of 209, 770, 607, 394?

Answer: LCM of 209, 770, 607, 394 is 1749440770.

2. How to calculate the LCM of 209, 770, 607, 394?

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 209, 770, 607, 394.

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}.