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LCM of 361, 679, 638, 548, 548

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


Find the LCM of 361, 679, 638, 548, 548 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 361, 679, 638, 548, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,679,638,548,548

Given numbers are 361,679,638,548,548

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

The LCM of 361,679,638,548,548 is 42849742628.

Find LCM of 361,679,638,548,548 with Prime Factorization


2 361, 679, 638, 548, 548
2 361, 679, 319, 274, 274
137 361, 679, 319, 137, 137
361, 679, 319, 1, 1

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

2 x 2 x 137 x 361 x 679 x 319 x 1 x 1 = 42849742628

Therefore, the lowest common multiple of 361,679,638,548,548 is 42849742628.

LCM Formula to Find Lowest Common Multiple of 361,679,638,548,548

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.

361 x 679 x 638 x 548 x 548 = 46963317920288

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.

361 : 1, 19, 361

679 : 1, 7, 97, 679

638 : 1, 2, 11, 22, 29, 58, 319, 638

548 : 1, 2, 4, 137, 274, 548

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,679,638,548,548, is 1.

Now, the common factors can be found like this.

361:19x 19

679:7x 97

638:2x 11x 29

548:2x 2x 137

548:2x 2x 137

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 137 = 1096

Therefore, the value for common factors is 1096.

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 = 46963317920288/(1x1096)

LCM = 46963317920288/1096

LCM = 42849742628

Thus, we can understand that the LCM of 361,679,638,548,548 is 42849742628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 679, 638, 548, 548

1. What is the LCM of 361, 679, 638, 548, 548?

Answer: LCM of 361, 679, 638, 548, 548 is 42849742628.

2. How to calculate the LCM of 361, 679, 638, 548, 548?

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 361, 679, 638, 548, 548.

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}.