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LCM of 925, 228, 173, 703, 377

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


Find the LCM of 925, 228, 173, 703, 377 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 925, 228, 173, 703, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,228,173,703,377

Given numbers are 925,228,173,703,377

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

The LCM of 925,228,173,703,377 is 13755108900.

Find LCM of 925,228,173,703,377 with Prime Factorization


19 925, 228, 173, 703, 377
37 925, 12, 173, 37, 377
25, 12, 173, 1, 377

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

19 x 37 x 25 x 12 x 173 x 1 x 377 = 13755108900

Therefore, the lowest common multiple of 925,228,173,703,377 is 13755108900.

LCM Formula to Find Lowest Common Multiple of 925,228,173,703,377

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.

925 x 228 x 173 x 703 x 377 = 9669841556700

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.

925 : 1, 5, 25, 37, 185, 925

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

173 : 1, 173

703 : 1, 19, 37, 703

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,228,173,703,377, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

228:2x 2x 3x 19

173:173

703:19x 37

377:13x 29

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

19x 37 = 703

Therefore, the value for common factors is 703.

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 = 9669841556700/(1x703)

LCM = 9669841556700/703

LCM = 13755108900

Thus, we can understand that the LCM of 925,228,173,703,377 is 13755108900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 228, 173, 703, 377

1. What is the LCM of 925, 228, 173, 703, 377?

Answer: LCM of 925, 228, 173, 703, 377 is 13755108900.

2. How to calculate the LCM of 925, 228, 173, 703, 377?

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 925, 228, 173, 703, 377.

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}.