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LCM of 652, 156, 726, 504

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


Find the LCM of 652, 156, 726, 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 652, 156, 726, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,156,726,504

Given numbers are 652,156,726,504

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

The LCM of 652,156,726,504 is 129225096.

Find LCM of 652,156,726,504 with Prime Factorization


2 652, 156, 726, 504
2 326, 78, 363, 252
3 163, 39, 363, 126
163, 13, 121, 42

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

2 x 2 x 3 x 163 x 13 x 121 x 42 = 129225096

Therefore, the lowest common multiple of 652,156,726,504 is 129225096.

LCM Formula to Find Lowest Common Multiple of 652,156,726,504

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.

652 x 156 x 726 x 504 = 37216827648

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.

652 : 1, 2, 4, 163, 326, 652

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,156,726,504, is 2.

Now, the common factors can be found like this.

652:2x 2x 163

156:2x 2x 3x 13

726:2x 3x 11x 11

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.

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 37216827648/(2x144)

LCM = 37216827648/288

LCM = 129225096

Thus, we can understand that the LCM of 652,156,726,504 is 129225096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 156, 726, 504

1. What is the LCM of 652, 156, 726, 504?

Answer: LCM of 652, 156, 726, 504 is 129225096.

2. How to calculate the LCM of 652, 156, 726, 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 652, 156, 726, 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}.