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LCM of 768, 912, 914, 378

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


Find the LCM of 768, 912, 914, 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 768, 912, 914, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,912,914,378

Given numbers are 768,912,914,378

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

The LCM of 768,912,914,378 is 420118272.

Find LCM of 768,912,914,378 with Prime Factorization


2 768, 912, 914, 378
2 384, 456, 457, 189
2 192, 228, 457, 189
2 96, 114, 457, 189
3 48, 57, 457, 189
16, 19, 457, 63

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

2 x 2 x 2 x 2 x 3 x 16 x 19 x 457 x 63 = 420118272

Therefore, the lowest common multiple of 768,912,914,378 is 420118272.

LCM Formula to Find Lowest Common Multiple of 768,912,914,378

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.

768 x 912 x 914 x 378 = 241988124672

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

914 : 1, 2, 457, 914

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,912,914,378, is 2.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

912:2x 2x 2x 2x 3x 19

914:2x 457

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 241988124672/(2x288)

LCM = 241988124672/576

LCM = 420118272

Thus, we can understand that the LCM of 768,912,914,378 is 420118272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 912, 914, 378

1. What is the LCM of 768, 912, 914, 378?

Answer: LCM of 768, 912, 914, 378 is 420118272.

2. How to calculate the LCM of 768, 912, 914, 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 768, 912, 914, 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}.