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LCM of 787, 794, 270, 142, 698

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


Find the LCM of 787, 794, 270, 142, 698 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 787, 794, 270, 142, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,794,270,142,698

Given numbers are 787,794,270,142,698

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

The LCM of 787,794,270,142,698 is 2090320014870.

Find LCM of 787,794,270,142,698 with Prime Factorization


2 787, 794, 270, 142, 698
787, 397, 135, 71, 349

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

2 x 787 x 397 x 135 x 71 x 349 = 2090320014870

Therefore, the lowest common multiple of 787,794,270,142,698 is 2090320014870.

LCM Formula to Find Lowest Common Multiple of 787,794,270,142,698

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.

787 x 794 x 270 x 142 x 698 = 16722560118960

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.

787 : 1, 787

794 : 1, 2, 397, 794

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

142 : 1, 2, 71, 142

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,794,270,142,698, is 1.

Now, the common factors can be found like this.

787:787

794:2x 397

270:2x 3x 3x 3x 5

142:2x 71

698:2x 349

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16722560118960/(1x8)

LCM = 16722560118960/8

LCM = 2090320014870

Thus, we can understand that the LCM of 787,794,270,142,698 is 2090320014870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 794, 270, 142, 698

1. What is the LCM of 787, 794, 270, 142, 698?

Answer: LCM of 787, 794, 270, 142, 698 is 2090320014870.

2. How to calculate the LCM of 787, 794, 270, 142, 698?

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 787, 794, 270, 142, 698.

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}.