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LCM of 286, 562, 520, 373, 117

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


Find the LCM of 286, 562, 520, 373, 117 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 286, 562, 520, 373, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,562,520,373,117

Given numbers are 286,562,520,373,117

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

The LCM of 286,562,520,373,117 is 5395773240.

Find LCM of 286,562,520,373,117 with Prime Factorization


2 286, 562, 520, 373, 117
13 143, 281, 260, 373, 117
11, 281, 20, 373, 9

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

2 x 13 x 11 x 281 x 20 x 373 x 9 = 5395773240

Therefore, the lowest common multiple of 286,562,520,373,117 is 5395773240.

LCM Formula to Find Lowest Common Multiple of 286,562,520,373,117

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.

286 x 562 x 520 x 373 x 117 = 3647542710240

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.

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

562 : 1, 2, 281, 562

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

373 : 1, 373

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,562,520,373,117, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

562:2x 281

520:2x 2x 2x 5x 13

373:373

117:3x 3x 13

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 3647542710240/(1x676)

LCM = 3647542710240/676

LCM = 5395773240

Thus, we can understand that the LCM of 286,562,520,373,117 is 5395773240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 562, 520, 373, 117

1. What is the LCM of 286, 562, 520, 373, 117?

Answer: LCM of 286, 562, 520, 373, 117 is 5395773240.

2. How to calculate the LCM of 286, 562, 520, 373, 117?

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 286, 562, 520, 373, 117.

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}.