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LCM of 276, 598, 713, 470

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


Find the LCM of 276, 598, 713, 470 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, 598, 713, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,598,713,470

Given numbers are 276,598,713,470

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

The LCM of 276,598,713,470 is 26138580.

Find LCM of 276,598,713,470 with Prime Factorization


2 276, 598, 713, 470
23 138, 299, 713, 235
6, 13, 31, 235

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

2 x 23 x 6 x 13 x 31 x 235 = 26138580

Therefore, the lowest common multiple of 276,598,713,470 is 26138580.

LCM Formula to Find Lowest Common Multiple of 276,598,713,470

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 598 x 713 x 470 = 55309235280

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

713 : 1, 23, 31, 713

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,598,713,470, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

598:2x 13x 23

713:23x 31

470:2x 5x 47

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 55309235280/(1x2116)

LCM = 55309235280/2116

LCM = 26138580

Thus, we can understand that the LCM of 276,598,713,470 is 26138580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 598, 713, 470

1. What is the LCM of 276, 598, 713, 470?

Answer: LCM of 276, 598, 713, 470 is 26138580.

2. How to calculate the LCM of 276, 598, 713, 470?

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, 598, 713, 470.

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}.