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LCM of 912, 105, 260, 286, 386

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


Find the LCM of 912, 105, 260, 286, 386 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 912, 105, 260, 286, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,105,260,286,386

Given numbers are 912,105,260,286,386

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

The LCM of 912,105,260,286,386 is 880960080.

Find LCM of 912,105,260,286,386 with Prime Factorization


2 912, 105, 260, 286, 386
2 456, 105, 130, 143, 193
3 228, 105, 65, 143, 193
5 76, 35, 65, 143, 193
13 76, 7, 13, 143, 193
76, 7, 1, 11, 193

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

2 x 2 x 3 x 5 x 13 x 76 x 7 x 1 x 11 x 193 = 880960080

Therefore, the lowest common multiple of 912,105,260,286,386 is 880960080.

LCM Formula to Find Lowest Common Multiple of 912,105,260,286,386

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.

912 x 105 x 260 x 286 x 386 = 2748595449600

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

105 : 1, 3, 5, 7, 15, 21, 35, 105

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

286 : 1, 2, 11, 13, 22, 26, 143, 286

386 : 1, 2, 193, 386

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,105,260,286,386, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

105:3x 5x 7

260:2x 2x 5x 13

286:2x 11x 13

386:2x 193

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 5x 13 = 3120

Therefore, the value for common factors is 3120.

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 = 2748595449600/(1x3120)

LCM = 2748595449600/3120

LCM = 880960080

Thus, we can understand that the LCM of 912,105,260,286,386 is 880960080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 105, 260, 286, 386

1. What is the LCM of 912, 105, 260, 286, 386?

Answer: LCM of 912, 105, 260, 286, 386 is 880960080.

2. How to calculate the LCM of 912, 105, 260, 286, 386?

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 912, 105, 260, 286, 386.

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}.