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LCM of 520, 929, 169, 641, 570

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


Find the LCM of 520, 929, 169, 641, 570 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 520, 929, 169, 641, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,929,169,641,570

Given numbers are 520,929,169,641,570

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

The LCM of 520,929,169,641,570 is 229453821480.

Find LCM of 520,929,169,641,570 with Prime Factorization


2 520, 929, 169, 641, 570
5 260, 929, 169, 641, 285
13 52, 929, 169, 641, 57
4, 929, 13, 641, 57

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

2 x 5 x 13 x 4 x 929 x 13 x 641 x 57 = 229453821480

Therefore, the lowest common multiple of 520,929,169,641,570 is 229453821480.

LCM Formula to Find Lowest Common Multiple of 520,929,169,641,570

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.

520 x 929 x 169 x 641 x 570 = 29828996792400

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

929 : 1, 929

169 : 1, 13, 169

641 : 1, 641

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,929,169,641,570, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

929:929

169:13x 13

641:641

570:2x 3x 5x 19

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 29828996792400/(1x130)

LCM = 29828996792400/130

LCM = 229453821480

Thus, we can understand that the LCM of 520,929,169,641,570 is 229453821480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 929, 169, 641, 570

1. What is the LCM of 520, 929, 169, 641, 570?

Answer: LCM of 520, 929, 169, 641, 570 is 229453821480.

2. How to calculate the LCM of 520, 929, 169, 641, 570?

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 520, 929, 169, 641, 570.

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}.