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LCM of 561, 496, 578, 149

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


Find the LCM of 561, 496, 578, 149 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 561, 496, 578, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,496,578,149

Given numbers are 561,496,578,149

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

The LCM of 561,496,578,149 is 704822448.

Find LCM of 561,496,578,149 with Prime Factorization


2 561, 496, 578, 149
17 561, 248, 289, 149
33, 248, 17, 149

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

2 x 17 x 33 x 248 x 17 x 149 = 704822448

Therefore, the lowest common multiple of 561,496,578,149 is 704822448.

LCM Formula to Find Lowest Common Multiple of 561,496,578,149

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.

561 x 496 x 578 x 149 = 23963963232

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

578 : 1, 2, 17, 34, 289, 578

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,496,578,149, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

496:2x 2x 2x 2x 31

578:2x 17x 17

149:149

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 23963963232/(1x34)

LCM = 23963963232/34

LCM = 704822448

Thus, we can understand that the LCM of 561,496,578,149 is 704822448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 496, 578, 149

1. What is the LCM of 561, 496, 578, 149?

Answer: LCM of 561, 496, 578, 149 is 704822448.

2. How to calculate the LCM of 561, 496, 578, 149?

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 561, 496, 578, 149.

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}.