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LCM of 169, 741, 501, 649

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


Find the LCM of 169, 741, 501, 649 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, 741, 501, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,741,501,649

Given numbers are 169,741,501,649

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

The LCM of 169,741,501,649 is 1044053439.

Find LCM of 169,741,501,649 with Prime Factorization


3 169, 741, 501, 649
13 169, 247, 167, 649
13, 19, 167, 649

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

3 x 13 x 13 x 19 x 167 x 649 = 1044053439

Therefore, the lowest common multiple of 169,741,501,649 is 1044053439.

LCM Formula to Find Lowest Common Multiple of 169,741,501,649

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 741 x 501 x 649 = 40718084121

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

501 : 1, 3, 167, 501

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,741,501,649, is 1.

Now, the common factors can be found like this.

169:13x 13

741:3x 13x 19

501:3x 167

649:11x 59

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 40718084121/(1x39)

LCM = 40718084121/39

LCM = 1044053439

Thus, we can understand that the LCM of 169,741,501,649 is 1044053439.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 741, 501, 649

1. What is the LCM of 169, 741, 501, 649?

Answer: LCM of 169, 741, 501, 649 is 1044053439.

2. How to calculate the LCM of 169, 741, 501, 649?

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, 741, 501, 649.

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}.