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LCM of 113, 113, 368, 276, 375

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


Find the LCM of 113, 113, 368, 276, 375 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 113, 113, 368, 276, 375. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,113,368,276,375

Given numbers are 113,113,368,276,375

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

The LCM of 113,113,368,276,375 is 15594000.

Find LCM of 113,113,368,276,375 with Prime Factorization


2 113, 113, 368, 276, 375
2 113, 113, 184, 138, 375
3 113, 113, 92, 69, 375
23 113, 113, 92, 23, 125
113 113, 113, 4, 1, 125
1, 1, 4, 1, 125

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

2 x 2 x 3 x 23 x 113 x 1 x 1 x 4 x 1 x 125 = 15594000

Therefore, the lowest common multiple of 113,113,368,276,375 is 15594000.

LCM Formula to Find Lowest Common Multiple of 113,113,368,276,375

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.

113 x 113 x 368 x 276 x 375 = 486345672000

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.

113 : 1, 113

113 : 1, 113

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,113,368,276,375, is 1.

Now, the common factors can be found like this.

113:113

113:113

368:2x 2x 2x 2x 23

276:2x 2x 3x 23

375:3x 5x 5x 5

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 3x 23x 113 = 31188

Therefore, the value for common factors is 31188.

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 = 486345672000/(1x31188)

LCM = 486345672000/31188

LCM = 15594000

Thus, we can understand that the LCM of 113,113,368,276,375 is 15594000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 113, 368, 276, 375

1. What is the LCM of 113, 113, 368, 276, 375?

Answer: LCM of 113, 113, 368, 276, 375 is 15594000.

2. How to calculate the LCM of 113, 113, 368, 276, 375?

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 113, 113, 368, 276, 375.

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}.