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LCM of 326, 981, 422, 574, 752

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


Find the LCM of 326, 981, 422, 574, 752 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 326, 981, 422, 574, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,981,422,574,752

Given numbers are 326,981,422,574,752

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

The LCM of 326,981,422,574,752 is 7281800970192.

Find LCM of 326,981,422,574,752 with Prime Factorization


2 326, 981, 422, 574, 752
163, 981, 211, 287, 376

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

2 x 163 x 981 x 211 x 287 x 376 = 7281800970192

Therefore, the lowest common multiple of 326,981,422,574,752 is 7281800970192.

LCM Formula to Find Lowest Common Multiple of 326,981,422,574,752

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.

326 x 981 x 422 x 574 x 752 = 58254407761536

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.

326 : 1, 2, 163, 326

981 : 1, 3, 9, 109, 327, 981

422 : 1, 2, 211, 422

574 : 1, 2, 7, 14, 41, 82, 287, 574

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,981,422,574,752, is 1.

Now, the common factors can be found like this.

326:2x 163

981:3x 3x 109

422:2x 211

574:2x 7x 41

752:2x 2x 2x 2x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 58254407761536/(1x8)

LCM = 58254407761536/8

LCM = 7281800970192

Thus, we can understand that the LCM of 326,981,422,574,752 is 7281800970192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 981, 422, 574, 752

1. What is the LCM of 326, 981, 422, 574, 752?

Answer: LCM of 326, 981, 422, 574, 752 is 7281800970192.

2. How to calculate the LCM of 326, 981, 422, 574, 752?

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 326, 981, 422, 574, 752.

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}.