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LCM of 452, 902, 287, 219

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


Find the LCM of 452, 902, 287, 219 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 452, 902, 287, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,902,287,219

Given numbers are 452,902,287,219

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

The LCM of 452,902,287,219 is 312505116.

Find LCM of 452,902,287,219 with Prime Factorization


2 452, 902, 287, 219
41 226, 451, 287, 219
226, 11, 7, 219

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

2 x 41 x 226 x 11 x 7 x 219 = 312505116

Therefore, the lowest common multiple of 452,902,287,219 is 312505116.

LCM Formula to Find Lowest Common Multiple of 452,902,287,219

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.

452 x 902 x 287 x 219 = 25625419512

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.

452 : 1, 2, 4, 113, 226, 452

902 : 1, 2, 11, 22, 41, 82, 451, 902

287 : 1, 7, 41, 287

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,902,287,219, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

902:2x 11x 41

287:7x 41

219:3x 73

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 25625419512/(1x82)

LCM = 25625419512/82

LCM = 312505116

Thus, we can understand that the LCM of 452,902,287,219 is 312505116.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 902, 287, 219

1. What is the LCM of 452, 902, 287, 219?

Answer: LCM of 452, 902, 287, 219 is 312505116.

2. How to calculate the LCM of 452, 902, 287, 219?

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 452, 902, 287, 219.

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}.