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LCM of 276, 418, 659, 715, 713

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


Find the LCM of 276, 418, 659, 715, 713 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 276, 418, 659, 715, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,418,659,715,713

Given numbers are 276,418,659,715,713

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

The LCM of 276,418,659,715,713 is 76597718340.

Find LCM of 276,418,659,715,713 with Prime Factorization


2 276, 418, 659, 715, 713
11 138, 209, 659, 715, 713
23 138, 19, 659, 65, 713
6, 19, 659, 65, 31

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

2 x 11 x 23 x 6 x 19 x 659 x 65 x 31 = 76597718340

Therefore, the lowest common multiple of 276,418,659,715,713 is 76597718340.

LCM Formula to Find Lowest Common Multiple of 276,418,659,715,713

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.

276 x 418 x 659 x 715 x 713 = 38758445480040

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

418 : 1, 2, 11, 19, 22, 38, 209, 418

659 : 1, 659

715 : 1, 5, 11, 13, 55, 65, 143, 715

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,418,659,715,713, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

418:2x 11x 19

659:659

715:5x 11x 13

713:23x 31

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

2x 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 38758445480040/(1x506)

LCM = 38758445480040/506

LCM = 76597718340

Thus, we can understand that the LCM of 276,418,659,715,713 is 76597718340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 418, 659, 715, 713

1. What is the LCM of 276, 418, 659, 715, 713?

Answer: LCM of 276, 418, 659, 715, 713 is 76597718340.

2. How to calculate the LCM of 276, 418, 659, 715, 713?

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 276, 418, 659, 715, 713.

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}.