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LCM of 254, 901, 867, 306

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


Find the LCM of 254, 901, 867, 306 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, 901, 867, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,901,867,306

Given numbers are 254,901,867,306

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

The LCM of 254,901,867,306 is 35014662.

Find LCM of 254,901,867,306 with Prime Factorization


2 254, 901, 867, 306
3 127, 901, 867, 153
17 127, 901, 289, 51
127, 53, 17, 3

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

2 x 3 x 17 x 127 x 53 x 17 x 3 = 35014662

Therefore, the lowest common multiple of 254,901,867,306 is 35014662.

LCM Formula to Find Lowest Common Multiple of 254,901,867,306

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 901 x 867 x 306 = 60715423908

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

901 : 1, 17, 53, 901

867 : 1, 3, 17, 51, 289, 867

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,901,867,306, is 1.

Now, the common factors can be found like this.

254:2x 127

901:17x 53

867:3x 17x 17

306:2x 3x 3x 17

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

2x 3x 17x 17 = 1734

Therefore, the value for common factors is 1734.

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 = 60715423908/(1x1734)

LCM = 60715423908/1734

LCM = 35014662

Thus, we can understand that the LCM of 254,901,867,306 is 35014662.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 901, 867, 306

1. What is the LCM of 254, 901, 867, 306?

Answer: LCM of 254, 901, 867, 306 is 35014662.

2. How to calculate the LCM of 254, 901, 867, 306?

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, 901, 867, 306.

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}.