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LCM of 842, 281, 809, 772, 714

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


Find the LCM of 842, 281, 809, 772, 714 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 842, 281, 809, 772, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,281,809,772,714

Given numbers are 842,281,809,772,714

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

The LCM of 842,281,809,772,714 is 26376821102436.

Find LCM of 842,281,809,772,714 with Prime Factorization


2 842, 281, 809, 772, 714
421, 281, 809, 386, 357

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

2 x 421 x 281 x 809 x 386 x 357 = 26376821102436

Therefore, the lowest common multiple of 842,281,809,772,714 is 26376821102436.

LCM Formula to Find Lowest Common Multiple of 842,281,809,772,714

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.

842 x 281 x 809 x 772 x 714 = 105507284409744

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.

842 : 1, 2, 421, 842

281 : 1, 281

809 : 1, 809

772 : 1, 2, 4, 193, 386, 772

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,281,809,772,714, is 1.

Now, the common factors can be found like this.

842:2x 421

281:281

809:809

772:2x 2x 193

714:2x 3x 7x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 105507284409744/(1x4)

LCM = 105507284409744/4

LCM = 26376821102436

Thus, we can understand that the LCM of 842,281,809,772,714 is 26376821102436.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 281, 809, 772, 714

1. What is the LCM of 842, 281, 809, 772, 714?

Answer: LCM of 842, 281, 809, 772, 714 is 26376821102436.

2. How to calculate the LCM of 842, 281, 809, 772, 714?

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 842, 281, 809, 772, 714.

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}.