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LCM of 254, 162, 504, 411

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


Find the LCM of 254, 162, 504, 411 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 254, 162, 504, 411. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,162,504,411

Given numbers are 254,162,504,411

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

The LCM of 254,162,504,411 is 78921864.

Find LCM of 254,162,504,411 with Prime Factorization


2 254, 162, 504, 411
3 127, 81, 252, 411
3 127, 27, 84, 137
127, 9, 28, 137

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

2 x 3 x 3 x 127 x 9 x 28 x 137 = 78921864

Therefore, the lowest common multiple of 254,162,504,411 is 78921864.

LCM Formula to Find Lowest Common Multiple of 254,162,504,411

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.

254 x 162 x 504 x 411 = 8523561312

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.

254 : 1, 2, 127, 254

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,162,504,411, is 1.

Now, the common factors can be found like this.

254:2x 127

162:2x 3x 3x 3x 3

504:2x 2x 2x 3x 3x 7

411:3x 137

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 8523561312/(1x108)

LCM = 8523561312/108

LCM = 78921864

Thus, we can understand that the LCM of 254,162,504,411 is 78921864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 162, 504, 411

1. What is the LCM of 254, 162, 504, 411?

Answer: LCM of 254, 162, 504, 411 is 78921864.

2. How to calculate the LCM of 254, 162, 504, 411?

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 254, 162, 504, 411.

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}.