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LCM of 209, 975, 551, 901

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


Find the LCM of 209, 975, 551, 901 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, 975, 551, 901. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,975,551,901

Given numbers are 209,975,551,901

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

The LCM of 209,975,551,901 is 5324436975.

Find LCM of 209,975,551,901 with Prime Factorization


19 209, 975, 551, 901
11, 975, 29, 901

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

19 x 11 x 975 x 29 x 901 = 5324436975

Therefore, the lowest common multiple of 209,975,551,901 is 5324436975.

LCM Formula to Find Lowest Common Multiple of 209,975,551,901

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 975 x 551 x 901 = 101164302525

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

551 : 1, 19, 29, 551

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,975,551,901, is 1.

Now, the common factors can be found like this.

209:11x 19

975:3x 5x 5x 13

551:19x 29

901:17x 53

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

19 = 19

Therefore, the value for common factors is 19.

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 = 101164302525/(1x19)

LCM = 101164302525/19

LCM = 5324436975

Thus, we can understand that the LCM of 209,975,551,901 is 5324436975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 975, 551, 901

1. What is the LCM of 209, 975, 551, 901?

Answer: LCM of 209, 975, 551, 901 is 5324436975.

2. How to calculate the LCM of 209, 975, 551, 901?

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, 975, 551, 901.

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}.