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LCM of 716, 641, 561, 554

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


Find the LCM of 716, 641, 561, 554 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 716, 641, 561, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,641,561,554

Given numbers are 716,641,561,554

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

The LCM of 716,641,561,554 is 71320385532.

Find LCM of 716,641,561,554 with Prime Factorization


2 716, 641, 561, 554
358, 641, 561, 277

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

2 x 358 x 641 x 561 x 277 = 71320385532

Therefore, the lowest common multiple of 716,641,561,554 is 71320385532.

LCM Formula to Find Lowest Common Multiple of 716,641,561,554

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.

716 x 641 x 561 x 554 = 142640771064

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.

716 : 1, 2, 4, 179, 358, 716

641 : 1, 641

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

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,641,561,554, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

641:641

561:3x 11x 17

554:2x 277

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

2 = 2

Therefore, the value for common factors is 2.

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 = 142640771064/(1x2)

LCM = 142640771064/2

LCM = 71320385532

Thus, we can understand that the LCM of 716,641,561,554 is 71320385532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 641, 561, 554

1. What is the LCM of 716, 641, 561, 554?

Answer: LCM of 716, 641, 561, 554 is 71320385532.

2. How to calculate the LCM of 716, 641, 561, 554?

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 716, 641, 561, 554.

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}.