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LCM of 457, 286, 360, 117

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


Find the LCM of 457, 286, 360, 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 457, 286, 360, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,286,360,117

Given numbers are 457,286,360,117

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

The LCM of 457,286,360,117 is 23526360.

Find LCM of 457,286,360,117 with Prime Factorization


2 457, 286, 360, 117
3 457, 143, 180, 117
3 457, 143, 60, 39
13 457, 143, 20, 13
457, 11, 20, 1

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

2 x 3 x 3 x 13 x 457 x 11 x 20 x 1 = 23526360

Therefore, the lowest common multiple of 457,286,360,117 is 23526360.

LCM Formula to Find Lowest Common Multiple of 457,286,360,117

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.

457 x 286 x 360 x 117 = 5505168240

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.

457 : 1, 457

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 457,286,360,117, is 1.

Now, the common factors can be found like this.

457:457

286:2x 11x 13

360:2x 2x 2x 3x 3x 5

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 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 5505168240/(1x234)

LCM = 5505168240/234

LCM = 23526360

Thus, we can understand that the LCM of 457,286,360,117 is 23526360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 286, 360, 117

1. What is the LCM of 457, 286, 360, 117?

Answer: LCM of 457, 286, 360, 117 is 23526360.

2. How to calculate the LCM of 457, 286, 360, 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 457, 286, 360, 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}.