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LCM of 752, 835, 835, 233

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


Find the LCM of 752, 835, 835, 233 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 752, 835, 835, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,835,835,233

Given numbers are 752,835,835,233

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

The LCM of 752,835,835,233 is 146305360.

Find LCM of 752,835,835,233 with Prime Factorization


5 752, 835, 835, 233
167 752, 167, 167, 233
752, 1, 1, 233

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

5 x 167 x 752 x 1 x 1 x 233 = 146305360

Therefore, the lowest common multiple of 752,835,835,233 is 146305360.

LCM Formula to Find Lowest Common Multiple of 752,835,835,233

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.

752 x 835 x 835 x 233 = 122164975600

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.

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

835 : 1, 5, 167, 835

835 : 1, 5, 167, 835

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,835,835,233, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

835:5x 167

835:5x 167

233:233

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

5x 167 = 835

Therefore, the value for common factors is 835.

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 = 122164975600/(1x835)

LCM = 122164975600/835

LCM = 146305360

Thus, we can understand that the LCM of 752,835,835,233 is 146305360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 752, 835, 835, 233

1. What is the LCM of 752, 835, 835, 233?

Answer: LCM of 752, 835, 835, 233 is 146305360.

2. How to calculate the LCM of 752, 835, 835, 233?

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 752, 835, 835, 233.

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}.