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LCM of 361, 689, 931, 931, 204

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


Find the LCM of 361, 689, 931, 931, 204 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 361, 689, 931, 931, 204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,689,931,931,204

Given numbers are 361,689,931,931,204

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

The LCM of 361,689,931,931,204 is 2486295084.

Find LCM of 361,689,931,931,204 with Prime Factorization


7 361, 689, 931, 931, 204
7 361, 689, 133, 133, 204
19 361, 689, 19, 19, 204
1, 689, 1, 19, 204

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

7 x 7 x 19 x 1 x 689 x 1 x 19 x 204 = 2486295084

Therefore, the lowest common multiple of 361,689,931,931,204 is 2486295084.

LCM Formula to Find Lowest Common Multiple of 361,689,931,931,204

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.

361 x 689 x 931 x 931 x 204 = 43980073740876

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.

361 : 1, 19, 361

689 : 1, 13, 53, 689

931 : 1, 7, 19, 49, 133, 931

931 : 1, 7, 19, 49, 133, 931

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,689,931,931,204, is 1.

Now, the common factors can be found like this.

361:19x 19

689:13x 53

931:7x 7x 19

931:7x 7x 19

204:2x 2x 3x 17

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

7x 7x 19x 19 = 17689

Therefore, the value for common factors is 17689.

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 = 43980073740876/(1x17689)

LCM = 43980073740876/17689

LCM = 2486295084

Thus, we can understand that the LCM of 361,689,931,931,204 is 2486295084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 689, 931, 931, 204

1. What is the LCM of 361, 689, 931, 931, 204?

Answer: LCM of 361, 689, 931, 931, 204 is 2486295084.

2. How to calculate the LCM of 361, 689, 931, 931, 204?

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 361, 689, 931, 931, 204.

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}.