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LCM of 392, 782, 989, 378

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


Find the LCM of 392, 782, 989, 378 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, 782, 989, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,782,989,378

Given numbers are 392,782,989,378

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

The LCM of 392,782,989,378 is 177948792.

Find LCM of 392,782,989,378 with Prime Factorization


2 392, 782, 989, 378
7 196, 391, 989, 189
23 28, 391, 989, 27
28, 17, 43, 27

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

2 x 7 x 23 x 28 x 17 x 43 x 27 = 177948792

Therefore, the lowest common multiple of 392,782,989,378 is 177948792.

LCM Formula to Find Lowest Common Multiple of 392,782,989,378

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 782 x 989 x 378 = 114599022048

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

989 : 1, 23, 43, 989

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,782,989,378, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

782:2x 17x 23

989:23x 43

378:2x 3x 3x 3x 7

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 7x 23 = 644

Therefore, the value for common factors is 644.

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 = 114599022048/(1x644)

LCM = 114599022048/644

LCM = 177948792

Thus, we can understand that the LCM of 392,782,989,378 is 177948792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 782, 989, 378

1. What is the LCM of 392, 782, 989, 378?

Answer: LCM of 392, 782, 989, 378 is 177948792.

2. How to calculate the LCM of 392, 782, 989, 378?

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, 782, 989, 378.

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}.