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LCM of 827, 517, 253, 141

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


Find the LCM of 827, 517, 253, 141 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 827, 517, 253, 141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,517,253,141

Given numbers are 827,517,253,141

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

The LCM of 827,517,253,141 is 29501571.

Find LCM of 827,517,253,141 with Prime Factorization


11 827, 517, 253, 141
47 827, 47, 23, 141
827, 1, 23, 3

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

11 x 47 x 827 x 1 x 23 x 3 = 29501571

Therefore, the lowest common multiple of 827,517,253,141 is 29501571.

LCM Formula to Find Lowest Common Multiple of 827,517,253,141

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.

827 x 517 x 253 x 141 = 15252312207

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.

827 : 1, 827

517 : 1, 11, 47, 517

253 : 1, 11, 23, 253

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,517,253,141, is 1.

Now, the common factors can be found like this.

827:827

517:11x 47

253:11x 23

141:3x 47

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

11x 47 = 517

Therefore, the value for common factors is 517.

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 = 15252312207/(1x517)

LCM = 15252312207/517

LCM = 29501571

Thus, we can understand that the LCM of 827,517,253,141 is 29501571.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 517, 253, 141

1. What is the LCM of 827, 517, 253, 141?

Answer: LCM of 827, 517, 253, 141 is 29501571.

2. How to calculate the LCM of 827, 517, 253, 141?

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 827, 517, 253, 141.

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}.