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LCM of 760, 807, 867, 363, 177

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


Find the LCM of 760, 807, 867, 363, 177 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 760, 807, 867, 363, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,807,867,363,177

Given numbers are 760,807,867,363,177

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

The LCM of 760,807,867,363,177 is 1265384037720.

Find LCM of 760,807,867,363,177 with Prime Factorization


3 760, 807, 867, 363, 177
760, 269, 289, 121, 59

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

3 x 760 x 269 x 289 x 121 x 59 = 1265384037720

Therefore, the lowest common multiple of 760,807,867,363,177 is 1265384037720.

LCM Formula to Find Lowest Common Multiple of 760,807,867,363,177

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.

760 x 807 x 867 x 363 x 177 = 34165369018440

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

807 : 1, 3, 269, 807

867 : 1, 3, 17, 51, 289, 867

363 : 1, 3, 11, 33, 121, 363

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,807,867,363,177, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

807:3x 269

867:3x 17x 17

363:3x 11x 11

177:3x 59

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 34165369018440/(1x27)

LCM = 34165369018440/27

LCM = 1265384037720

Thus, we can understand that the LCM of 760,807,867,363,177 is 1265384037720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 807, 867, 363, 177

1. What is the LCM of 760, 807, 867, 363, 177?

Answer: LCM of 760, 807, 867, 363, 177 is 1265384037720.

2. How to calculate the LCM of 760, 807, 867, 363, 177?

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 760, 807, 867, 363, 177.

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}.