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LCM of 719, 304, 715, 187, 471

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


Find the LCM of 719, 304, 715, 187, 471 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 719, 304, 715, 187, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 719,304,715,187,471

Given numbers are 719,304,715,187,471

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

The LCM of 719,304,715,187,471 is 1251348692880.

Find LCM of 719,304,715,187,471 with Prime Factorization


11 719, 304, 715, 187, 471
719, 304, 65, 17, 471

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

11 x 719 x 304 x 65 x 17 x 471 = 1251348692880

Therefore, the lowest common multiple of 719,304,715,187,471 is 1251348692880.

LCM Formula to Find Lowest Common Multiple of 719,304,715,187,471

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.

719 x 304 x 715 x 187 x 471 = 13764835621680

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.

719 : 1, 719

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

187 : 1, 11, 17, 187

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,304,715,187,471, is 1.

Now, the common factors can be found like this.

719:719

304:2x 2x 2x 2x 19

715:5x 11x 13

187:11x 17

471:3x 157

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

11 = 11

Therefore, the value for common factors is 11.

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 = 13764835621680/(1x11)

LCM = 13764835621680/11

LCM = 1251348692880

Thus, we can understand that the LCM of 719,304,715,187,471 is 1251348692880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 719, 304, 715, 187, 471

1. What is the LCM of 719, 304, 715, 187, 471?

Answer: LCM of 719, 304, 715, 187, 471 is 1251348692880.

2. How to calculate the LCM of 719, 304, 715, 187, 471?

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 719, 304, 715, 187, 471.

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}.