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LCM of 378, 595, 147, 868, 476

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


Find the LCM of 378, 595, 147, 868, 476 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 378, 595, 147, 868, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 378,595,147,868,476

Given numbers are 378,595,147,868,476

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

The LCM of 378,595,147,868,476 is 13944420.

Find LCM of 378,595,147,868,476 with Prime Factorization


2 378, 595, 147, 868, 476
2 189, 595, 147, 434, 238
3 189, 595, 147, 217, 119
7 63, 595, 49, 217, 119
17 9, 85, 7, 31, 17
9, 5, 7, 31, 1

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

2 x 2 x 3 x 7 x 17 x 9 x 5 x 7 x 31 x 1 = 13944420

Therefore, the lowest common multiple of 378,595,147,868,476 is 13944420.

LCM Formula to Find Lowest Common Multiple of 378,595,147,868,476

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.

378 x 595 x 147 x 868 x 476 = 13660065387360

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.

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

147 : 1, 3, 7, 21, 49, 147

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,595,147,868,476, is 7.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

595:5x 7x 17

147:3x 7x 7

868:2x 2x 7x 31

476:2x 2x 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 2x 2x 3x 7x 7x 7x 17 = 139944

Therefore, the value for common factors is 139944.

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 = 13660065387360/(7x139944)

LCM = 13660065387360/979608

LCM = 13944420

Thus, we can understand that the LCM of 378,595,147,868,476 is 13944420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 378, 595, 147, 868, 476

1. What is the LCM of 378, 595, 147, 868, 476?

Answer: LCM of 378, 595, 147, 868, 476 is 13944420.

2. How to calculate the LCM of 378, 595, 147, 868, 476?

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 378, 595, 147, 868, 476.

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}.