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LCM of 702, 912, 538, 760, 249

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


Find the LCM of 702, 912, 538, 760, 249 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 702, 912, 538, 760, 249. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,912,538,760,249

Given numbers are 702,912,538,760,249

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

The LCM of 702,912,538,760,249 is 11911901040.

Find LCM of 702,912,538,760,249 with Prime Factorization


2 702, 912, 538, 760, 249
2 351, 456, 269, 380, 249
2 351, 228, 269, 190, 249
3 351, 114, 269, 95, 249
19 117, 38, 269, 95, 83
117, 2, 269, 5, 83

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

2 x 2 x 2 x 3 x 19 x 117 x 2 x 269 x 5 x 83 = 11911901040

Therefore, the lowest common multiple of 702,912,538,760,249 is 11911901040.

LCM Formula to Find Lowest Common Multiple of 702,912,538,760,249

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.

702 x 912 x 538 x 760 x 249 = 65181922490880

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

538 : 1, 2, 269, 538

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

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,912,538,760,249, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

912:2x 2x 2x 2x 3x 19

538:2x 269

760:2x 2x 2x 5x 19

249:3x 83

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 2x 2x 2x 3x 3x 19 = 5472

Therefore, the value for common factors is 5472.

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 = 65181922490880/(1x5472)

LCM = 65181922490880/5472

LCM = 11911901040

Thus, we can understand that the LCM of 702,912,538,760,249 is 11911901040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 912, 538, 760, 249

1. What is the LCM of 702, 912, 538, 760, 249?

Answer: LCM of 702, 912, 538, 760, 249 is 11911901040.

2. How to calculate the LCM of 702, 912, 538, 760, 249?

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 702, 912, 538, 760, 249.

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}.