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LCM of 187, 492, 358, 485

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


Find the LCM of 187, 492, 358, 485 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 187, 492, 358, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,492,358,485

Given numbers are 187,492,358,485

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

The LCM of 187,492,358,485 is 7987327260.

Find LCM of 187,492,358,485 with Prime Factorization


2 187, 492, 358, 485
187, 246, 179, 485

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

2 x 187 x 246 x 179 x 485 = 7987327260

Therefore, the lowest common multiple of 187,492,358,485 is 7987327260.

LCM Formula to Find Lowest Common Multiple of 187,492,358,485

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.

187 x 492 x 358 x 485 = 15974654520

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.

187 : 1, 11, 17, 187

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

358 : 1, 2, 179, 358

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,492,358,485, is 1.

Now, the common factors can be found like this.

187:11x 17

492:2x 2x 3x 41

358:2x 179

485:5x 97

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

2 = 2

Therefore, the value for common factors is 2.

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 = 15974654520/(1x2)

LCM = 15974654520/2

LCM = 7987327260

Thus, we can understand that the LCM of 187,492,358,485 is 7987327260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 492, 358, 485

1. What is the LCM of 187, 492, 358, 485?

Answer: LCM of 187, 492, 358, 485 is 7987327260.

2. How to calculate the LCM of 187, 492, 358, 485?

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 187, 492, 358, 485.

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}.