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LCM of 540, 159, 292, 422

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


Find the LCM of 540, 159, 292, 422 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 540, 159, 292, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,159,292,422

Given numbers are 540,159,292,422

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

The LCM of 540,159,292,422 is 440833860.

Find LCM of 540,159,292,422 with Prime Factorization


2 540, 159, 292, 422
2 270, 159, 146, 211
3 135, 159, 73, 211
45, 53, 73, 211

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

2 x 2 x 3 x 45 x 53 x 73 x 211 = 440833860

Therefore, the lowest common multiple of 540,159,292,422 is 440833860.

LCM Formula to Find Lowest Common Multiple of 540,159,292,422

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.

540 x 159 x 292 x 422 = 10580012640

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

159 : 1, 3, 53, 159

292 : 1, 2, 4, 73, 146, 292

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,159,292,422, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

159:3x 53

292:2x 2x 73

422:2x 211

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 10580012640/(1x24)

LCM = 10580012640/24

LCM = 440833860

Thus, we can understand that the LCM of 540,159,292,422 is 440833860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 159, 292, 422

1. What is the LCM of 540, 159, 292, 422?

Answer: LCM of 540, 159, 292, 422 is 440833860.

2. How to calculate the LCM of 540, 159, 292, 422?

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 540, 159, 292, 422.

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}.