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LCM of 935, 880, 384, 919

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


Find the LCM of 935, 880, 384, 919 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 935, 880, 384, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,880,384,919

Given numbers are 935,880,384,919

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

The LCM of 935,880,384,919 is 329957760.

Find LCM of 935,880,384,919 with Prime Factorization


2 935, 880, 384, 919
2 935, 440, 192, 919
2 935, 220, 96, 919
2 935, 110, 48, 919
5 935, 55, 24, 919
11 187, 11, 24, 919
17, 1, 24, 919

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

2 x 2 x 2 x 2 x 5 x 11 x 17 x 1 x 24 x 919 = 329957760

Therefore, the lowest common multiple of 935,880,384,919 is 329957760.

LCM Formula to Find Lowest Common Multiple of 935,880,384,919

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.

935 x 880 x 384 x 919 = 290362828800

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,880,384,919, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

880:2x 2x 2x 2x 5x 11

384:2x 2x 2x 2x 2x 2x 2x 3

919:919

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 290362828800/(1x880)

LCM = 290362828800/880

LCM = 329957760

Thus, we can understand that the LCM of 935,880,384,919 is 329957760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 880, 384, 919

1. What is the LCM of 935, 880, 384, 919?

Answer: LCM of 935, 880, 384, 919 is 329957760.

2. How to calculate the LCM of 935, 880, 384, 919?

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 935, 880, 384, 919.

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}.