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LCM of 392, 687, 622, 703, 892

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


Find the LCM of 392, 687, 622, 703, 892 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 392, 687, 622, 703, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,687,622,703,892

Given numbers are 392,687,622,703,892

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

The LCM of 392,687,622,703,892 is 13129959339336.

Find LCM of 392,687,622,703,892 with Prime Factorization


2 392, 687, 622, 703, 892
2 196, 687, 311, 703, 446
98, 687, 311, 703, 223

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

2 x 2 x 98 x 687 x 311 x 703 x 223 = 13129959339336

Therefore, the lowest common multiple of 392,687,622,703,892 is 13129959339336.

LCM Formula to Find Lowest Common Multiple of 392,687,622,703,892

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.

392 x 687 x 622 x 703 x 892 = 105039674714688

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

687 : 1, 3, 229, 687

622 : 1, 2, 311, 622

703 : 1, 19, 37, 703

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,687,622,703,892, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

687:3x 229

622:2x 311

703:19x 37

892:2x 2x 223

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 = 105039674714688/(1x8)

LCM = 105039674714688/8

LCM = 13129959339336

Thus, we can understand that the LCM of 392,687,622,703,892 is 13129959339336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 687, 622, 703, 892

1. What is the LCM of 392, 687, 622, 703, 892?

Answer: LCM of 392, 687, 622, 703, 892 is 13129959339336.

2. How to calculate the LCM of 392, 687, 622, 703, 892?

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 392, 687, 622, 703, 892.

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}.