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LCM of 235, 752, 217, 802

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


Find the LCM of 235, 752, 217, 802 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 235, 752, 217, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,752,217,802

Given numbers are 235,752,217,802

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

The LCM of 235,752,217,802 is 327183920.

Find LCM of 235,752,217,802 with Prime Factorization


2 235, 752, 217, 802
47 235, 376, 217, 401
5, 8, 217, 401

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

2 x 47 x 5 x 8 x 217 x 401 = 327183920

Therefore, the lowest common multiple of 235,752,217,802 is 327183920.

LCM Formula to Find Lowest Common Multiple of 235,752,217,802

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.

235 x 752 x 217 x 802 = 30755288480

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.

235 : 1, 5, 47, 235

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

217 : 1, 7, 31, 217

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,752,217,802, is 1.

Now, the common factors can be found like this.

235:5x 47

752:2x 2x 2x 2x 47

217:7x 31

802:2x 401

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 30755288480/(1x94)

LCM = 30755288480/94

LCM = 327183920

Thus, we can understand that the LCM of 235,752,217,802 is 327183920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 752, 217, 802

1. What is the LCM of 235, 752, 217, 802?

Answer: LCM of 235, 752, 217, 802 is 327183920.

2. How to calculate the LCM of 235, 752, 217, 802?

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 235, 752, 217, 802.

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}.