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LCM of 169, 676, 383, 424

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


Find the LCM of 169, 676, 383, 424 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, 676, 383, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,676,383,424

Given numbers are 169,676,383,424

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

The LCM of 169,676,383,424 is 27444248.

Find LCM of 169,676,383,424 with Prime Factorization


2 169, 676, 383, 424
2 169, 338, 383, 212
13 169, 169, 383, 106
13 13, 13, 383, 106
1, 1, 383, 106

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

2 x 2 x 13 x 13 x 1 x 1 x 383 x 106 = 27444248

Therefore, the lowest common multiple of 169,676,383,424 is 27444248.

LCM Formula to Find Lowest Common Multiple of 169,676,383,424

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 676 x 383 x 424 = 18552311648

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

383 : 1, 383

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,676,383,424, is 1.

Now, the common factors can be found like this.

169:13x 13

676:2x 2x 13x 13

383:383

424:2x 2x 2x 53

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 18552311648/(1x676)

LCM = 18552311648/676

LCM = 27444248

Thus, we can understand that the LCM of 169,676,383,424 is 27444248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 676, 383, 424

1. What is the LCM of 169, 676, 383, 424?

Answer: LCM of 169, 676, 383, 424 is 27444248.

2. How to calculate the LCM of 169, 676, 383, 424?

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, 676, 383, 424.

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}.