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LCM of 869, 150, 288, 649

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


Find the LCM of 869, 150, 288, 649 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 869, 150, 288, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,150,288,649

Given numbers are 869,150,288,649

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

The LCM of 869,150,288,649 is 369151200.

Find LCM of 869,150,288,649 with Prime Factorization


2 869, 150, 288, 649
3 869, 75, 144, 649
11 869, 25, 48, 649
79, 25, 48, 59

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

2 x 3 x 11 x 79 x 25 x 48 x 59 = 369151200

Therefore, the lowest common multiple of 869,150,288,649 is 369151200.

LCM Formula to Find Lowest Common Multiple of 869,150,288,649

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.

869 x 150 x 288 x 649 = 24363979200

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.

869 : 1, 11, 79, 869

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,150,288,649, is 1.

Now, the common factors can be found like this.

869:11x 79

150:2x 3x 5x 5

288:2x 2x 2x 2x 2x 3x 3

649:11x 59

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 11 = 66

Therefore, the value for common factors is 66.

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 = 24363979200/(1x66)

LCM = 24363979200/66

LCM = 369151200

Thus, we can understand that the LCM of 869,150,288,649 is 369151200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 150, 288, 649

1. What is the LCM of 869, 150, 288, 649?

Answer: LCM of 869, 150, 288, 649 is 369151200.

2. How to calculate the LCM of 869, 150, 288, 649?

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 869, 150, 288, 649.

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}.