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LCM of 506, 895, 541, 504

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


Find the LCM of 506, 895, 541, 504 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 506, 895, 541, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,895,541,504

Given numbers are 506,895,541,504

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

The LCM of 506,895,541,504 is 61740672840.

Find LCM of 506,895,541,504 with Prime Factorization


2 506, 895, 541, 504
253, 895, 541, 252

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

2 x 253 x 895 x 541 x 252 = 61740672840

Therefore, the lowest common multiple of 506,895,541,504 is 61740672840.

LCM Formula to Find Lowest Common Multiple of 506,895,541,504

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.

506 x 895 x 541 x 504 = 123481345680

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

895 : 1, 5, 179, 895

541 : 1, 541

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,895,541,504, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

895:5x 179

541:541

504:2x 2x 2x 3x 3x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 123481345680/(1x2)

LCM = 123481345680/2

LCM = 61740672840

Thus, we can understand that the LCM of 506,895,541,504 is 61740672840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 895, 541, 504

1. What is the LCM of 506, 895, 541, 504?

Answer: LCM of 506, 895, 541, 504 is 61740672840.

2. How to calculate the LCM of 506, 895, 541, 504?

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 506, 895, 541, 504.

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}.