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LCM of 169, 520, 169, 774

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


Find the LCM of 169, 520, 169, 774 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 169, 520, 169, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,520,169,774

Given numbers are 169,520,169,774

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

The LCM of 169,520,169,774 is 2616120.

Find LCM of 169,520,169,774 with Prime Factorization


2 169, 520, 169, 774
13 169, 260, 169, 387
13 13, 20, 13, 387
1, 20, 1, 387

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

2 x 13 x 13 x 1 x 20 x 1 x 387 = 2616120

Therefore, the lowest common multiple of 169,520,169,774 is 2616120.

LCM Formula to Find Lowest Common Multiple of 169,520,169,774

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.

169 x 520 x 169 x 774 = 11495231280

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.

169 : 1, 13, 169

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

169 : 1, 13, 169

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,520,169,774, is 1.

Now, the common factors can be found like this.

169:13x 13

520:2x 2x 2x 5x 13

169:13x 13

774:2x 3x 3x 43

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

2x 13x 13x 13 = 4394

Therefore, the value for common factors is 4394.

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 = 11495231280/(1x4394)

LCM = 11495231280/4394

LCM = 2616120

Thus, we can understand that the LCM of 169,520,169,774 is 2616120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 520, 169, 774

1. What is the LCM of 169, 520, 169, 774?

Answer: LCM of 169, 520, 169, 774 is 2616120.

2. How to calculate the LCM of 169, 520, 169, 774?

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 169, 520, 169, 774.

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}.