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LCM of 168, 900, 476, 491, 207

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


Find the LCM of 168, 900, 476, 491, 207 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 168, 900, 476, 491, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,900,476,491,207

Given numbers are 168,900,476,491,207

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

The LCM of 168,900,476,491,207 is 2418960600.

Find LCM of 168,900,476,491,207 with Prime Factorization


2 168, 900, 476, 491, 207
2 84, 450, 238, 491, 207
3 42, 225, 119, 491, 207
3 14, 75, 119, 491, 69
7 14, 25, 119, 491, 23
2, 25, 17, 491, 23

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

2 x 2 x 3 x 3 x 7 x 2 x 25 x 17 x 491 x 23 = 2418960600

Therefore, the lowest common multiple of 168,900,476,491,207 is 2418960600.

LCM Formula to Find Lowest Common Multiple of 168,900,476,491,207

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.

168 x 900 x 476 x 491 x 207 = 7314936854400

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

491 : 1, 491

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,900,476,491,207, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

900:2x 2x 3x 3x 5x 5

476:2x 2x 7x 17

491:491

207:3x 3x 23

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 2x 2x 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 7314936854400/(1x3024)

LCM = 7314936854400/3024

LCM = 2418960600

Thus, we can understand that the LCM of 168,900,476,491,207 is 2418960600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 900, 476, 491, 207

1. What is the LCM of 168, 900, 476, 491, 207?

Answer: LCM of 168, 900, 476, 491, 207 is 2418960600.

2. How to calculate the LCM of 168, 900, 476, 491, 207?

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 168, 900, 476, 491, 207.

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}.