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LCM of 504, 760, 163, 326

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


Find the LCM of 504, 760, 163, 326 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 504, 760, 163, 326. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,760,163,326

Given numbers are 504,760,163,326

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

The LCM of 504,760,163,326 is 7804440.

Find LCM of 504,760,163,326 with Prime Factorization


2 504, 760, 163, 326
2 252, 380, 163, 163
2 126, 190, 163, 163
163 63, 95, 163, 163
63, 95, 1, 1

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

2 x 2 x 2 x 163 x 63 x 95 x 1 x 1 = 7804440

Therefore, the lowest common multiple of 504,760,163,326 is 7804440.

LCM Formula to Find Lowest Common Multiple of 504,760,163,326

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.

504 x 760 x 163 x 326 = 20353979520

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.

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

163 : 1, 163

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,760,163,326, is 1.

Now, the common factors can be found like this.

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

760:2x 2x 2x 5x 19

163:163

326:2x 163

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 2x 163 = 2608

Therefore, the value for common factors is 2608.

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 = 20353979520/(1x2608)

LCM = 20353979520/2608

LCM = 7804440

Thus, we can understand that the LCM of 504,760,163,326 is 7804440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 760, 163, 326

1. What is the LCM of 504, 760, 163, 326?

Answer: LCM of 504, 760, 163, 326 is 7804440.

2. How to calculate the LCM of 504, 760, 163, 326?

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 504, 760, 163, 326.

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}.