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LCM of 561, 542, 153, 319

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


Find the LCM of 561, 542, 153, 319 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, 542, 153, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,542,153,319

Given numbers are 561,542,153,319

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

The LCM of 561,542,153,319 is 26453394.

Find LCM of 561,542,153,319 with Prime Factorization


3 561, 542, 153, 319
11 187, 542, 51, 319
17 17, 542, 51, 29
1, 542, 3, 29

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

3 x 11 x 17 x 1 x 542 x 3 x 29 = 26453394

Therefore, the lowest common multiple of 561,542,153,319 is 26453394.

LCM Formula to Find Lowest Common Multiple of 561,542,153,319

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 542 x 153 x 319 = 14840354034

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

542 : 1, 2, 271, 542

153 : 1, 3, 9, 17, 51, 153

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,542,153,319, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

542:2x 271

153:3x 3x 17

319:11x 29

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

3x 11x 17 = 561

Therefore, the value for common factors is 561.

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 = 14840354034/(1x561)

LCM = 14840354034/561

LCM = 26453394

Thus, we can understand that the LCM of 561,542,153,319 is 26453394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 542, 153, 319

1. What is the LCM of 561, 542, 153, 319?

Answer: LCM of 561, 542, 153, 319 is 26453394.

2. How to calculate the LCM of 561, 542, 153, 319?

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, 542, 153, 319.

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}.