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LCM of 394, 555, 378, 712

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


Find the LCM of 394, 555, 378, 712 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 394, 555, 378, 712. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,555,378,712

Given numbers are 394,555,378,712

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

The LCM of 394,555,378,712 is 4904330760.

Find LCM of 394,555,378,712 with Prime Factorization


2 394, 555, 378, 712
3 197, 555, 189, 356
197, 185, 63, 356

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

2 x 3 x 197 x 185 x 63 x 356 = 4904330760

Therefore, the lowest common multiple of 394,555,378,712 is 4904330760.

LCM Formula to Find Lowest Common Multiple of 394,555,378,712

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.

394 x 555 x 378 x 712 = 58851969120

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.

394 : 1, 2, 197, 394

555 : 1, 3, 5, 15, 37, 111, 185, 555

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,555,378,712, is 1.

Now, the common factors can be found like this.

394:2x 197

555:3x 5x 37

378:2x 3x 3x 3x 7

712:2x 2x 2x 89

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 3 = 12

Therefore, the value for common factors is 12.

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 = 58851969120/(1x12)

LCM = 58851969120/12

LCM = 4904330760

Thus, we can understand that the LCM of 394,555,378,712 is 4904330760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 555, 378, 712

1. What is the LCM of 394, 555, 378, 712?

Answer: LCM of 394, 555, 378, 712 is 4904330760.

2. How to calculate the LCM of 394, 555, 378, 712?

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 394, 555, 378, 712.

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}.