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LCM of 989, 720, 687, 958

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


Find the LCM of 989, 720, 687, 958 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 989, 720, 687, 958. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,720,687,958

Given numbers are 989,720,687,958

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

The LCM of 989,720,687,958 is 78108767280.

Find LCM of 989,720,687,958 with Prime Factorization


2 989, 720, 687, 958
3 989, 360, 687, 479
989, 120, 229, 479

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

2 x 3 x 989 x 120 x 229 x 479 = 78108767280

Therefore, the lowest common multiple of 989,720,687,958 is 78108767280.

LCM Formula to Find Lowest Common Multiple of 989,720,687,958

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.

989 x 720 x 687 x 958 = 468652603680

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.

989 : 1, 23, 43, 989

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

687 : 1, 3, 229, 687

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,720,687,958, is 1.

Now, the common factors can be found like this.

989:23x 43

720:2x 2x 2x 2x 3x 3x 5

687:3x 229

958:2x 479

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 468652603680/(1x6)

LCM = 468652603680/6

LCM = 78108767280

Thus, we can understand that the LCM of 989,720,687,958 is 78108767280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 720, 687, 958

1. What is the LCM of 989, 720, 687, 958?

Answer: LCM of 989, 720, 687, 958 is 78108767280.

2. How to calculate the LCM of 989, 720, 687, 958?

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 989, 720, 687, 958.

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}.