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LCM of 150, 867, 459, 427, 419

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


Find the LCM of 150, 867, 459, 427, 419 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 150, 867, 459, 427, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 150,867,459,427,419

Given numbers are 150,867,459,427,419

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

The LCM of 150,867,459,427,419 is 69802906950.

Find LCM of 150,867,459,427,419 with Prime Factorization


3 150, 867, 459, 427, 419
17 50, 289, 153, 427, 419
50, 17, 9, 427, 419

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

3 x 17 x 50 x 17 x 9 x 427 x 419 = 69802906950

Therefore, the lowest common multiple of 150,867,459,427,419 is 69802906950.

LCM Formula to Find Lowest Common Multiple of 150,867,459,427,419

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.

150 x 867 x 459 x 427 x 419 = 10679844763350

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

427 : 1, 7, 61, 427

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,867,459,427,419, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

867:3x 17x 17

459:3x 3x 3x 17

427:7x 61

419:419

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

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 10679844763350/(1x153)

LCM = 10679844763350/153

LCM = 69802906950

Thus, we can understand that the LCM of 150,867,459,427,419 is 69802906950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 150, 867, 459, 427, 419

1. What is the LCM of 150, 867, 459, 427, 419?

Answer: LCM of 150, 867, 459, 427, 419 is 69802906950.

2. How to calculate the LCM of 150, 867, 459, 427, 419?

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 150, 867, 459, 427, 419.

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}.