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LCM of 392, 168, 347, 398, 798

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


Find the LCM of 392, 168, 347, 398, 798 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, 168, 347, 398, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,168,347,398,798

Given numbers are 392,168,347,398,798

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

The LCM of 392,168,347,398,798 is 1542920232.

Find LCM of 392,168,347,398,798 with Prime Factorization


2 392, 168, 347, 398, 798
2 196, 84, 347, 199, 399
2 98, 42, 347, 199, 399
3 49, 21, 347, 199, 399
7 49, 7, 347, 199, 133
1, 7, 347, 199, 19

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

2 x 2 x 2 x 3 x 7 x 1 x 7 x 347 x 199 x 19 = 1542920232

Therefore, the lowest common multiple of 392,168,347,398,798 is 1542920232.

LCM Formula to Find Lowest Common Multiple of 392,168,347,398,798

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 168 x 347 x 398 x 798 = 7257896771328

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

347 : 1, 347

398 : 1, 2, 199, 398

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,168,347,398,798, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

168:2x 2x 2x 3x 7

347:347

398:2x 199

798:2x 3x 7x 19

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 2x 2x 2x 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 7257896771328/(1x4704)

LCM = 7257896771328/4704

LCM = 1542920232

Thus, we can understand that the LCM of 392,168,347,398,798 is 1542920232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 168, 347, 398, 798

1. What is the LCM of 392, 168, 347, 398, 798?

Answer: LCM of 392, 168, 347, 398, 798 is 1542920232.

2. How to calculate the LCM of 392, 168, 347, 398, 798?

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, 168, 347, 398, 798.

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}.