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LCM of 187, 219, 357, 104

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


Find the LCM of 187, 219, 357, 104 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, 219, 357, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,219,357,104

Given numbers are 187,219,357,104

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

The LCM of 187,219,357,104 is 29813784.

Find LCM of 187,219,357,104 with Prime Factorization


3 187, 219, 357, 104
17 187, 73, 119, 104
11, 73, 7, 104

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

3 x 17 x 11 x 73 x 7 x 104 = 29813784

Therefore, the lowest common multiple of 187,219,357,104 is 29813784.

LCM Formula to Find Lowest Common Multiple of 187,219,357,104

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 219 x 357 x 104 = 1520502984

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

219 : 1, 3, 73, 219

357 : 1, 3, 7, 17, 21, 51, 119, 357

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,219,357,104, is 1.

Now, the common factors can be found like this.

187:11x 17

219:3x 73

357:3x 7x 17

104:2x 2x 2x 13

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 1520502984/(1x51)

LCM = 1520502984/51

LCM = 29813784

Thus, we can understand that the LCM of 187,219,357,104 is 29813784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 219, 357, 104

1. What is the LCM of 187, 219, 357, 104?

Answer: LCM of 187, 219, 357, 104 is 29813784.

2. How to calculate the LCM of 187, 219, 357, 104?

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, 219, 357, 104.

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}.