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LCM of 988, 727, 410, 715

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


Find the LCM of 988, 727, 410, 715 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 988, 727, 410, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,727,410,715

Given numbers are 988,727,410,715

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

The LCM of 988,727,410,715 is 1619712380.

Find LCM of 988,727,410,715 with Prime Factorization


2 988, 727, 410, 715
5 494, 727, 205, 715
13 494, 727, 41, 143
38, 727, 41, 11

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

2 x 5 x 13 x 38 x 727 x 41 x 11 = 1619712380

Therefore, the lowest common multiple of 988,727,410,715 is 1619712380.

LCM Formula to Find Lowest Common Multiple of 988,727,410,715

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.

988 x 727 x 410 x 715 = 210562609400

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

727 : 1, 727

410 : 1, 2, 5, 10, 41, 82, 205, 410

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,727,410,715, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

727:727

410:2x 5x 41

715:5x 11x 13

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 210562609400/(1x130)

LCM = 210562609400/130

LCM = 1619712380

Thus, we can understand that the LCM of 988,727,410,715 is 1619712380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 727, 410, 715

1. What is the LCM of 988, 727, 410, 715?

Answer: LCM of 988, 727, 410, 715 is 1619712380.

2. How to calculate the LCM of 988, 727, 410, 715?

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 988, 727, 410, 715.

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}.