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LCM of 768, 415, 876, 170, 945

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


Find the LCM of 768, 415, 876, 170, 945 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, 415, 876, 170, 945. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,415,876,170,945

Given numbers are 768,415,876,170,945

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

The LCM of 768,415,876,170,945 is 24918485760.

Find LCM of 768,415,876,170,945 with Prime Factorization


2 768, 415, 876, 170, 945
2 384, 415, 438, 85, 945
3 192, 415, 219, 85, 945
5 64, 415, 73, 85, 315
64, 83, 73, 17, 63

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

2 x 2 x 3 x 5 x 64 x 83 x 73 x 17 x 63 = 24918485760

Therefore, the lowest common multiple of 768,415,876,170,945 is 24918485760.

LCM Formula to Find Lowest Common Multiple of 768,415,876,170,945

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 415 x 876 x 170 x 945 = 44853274368000

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

415 : 1, 5, 83, 415

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

170 : 1, 2, 5, 10, 17, 34, 85, 170

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,415,876,170,945, is 1.

Now, the common factors can be found like this.

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

415:5x 83

876:2x 2x 3x 73

170:2x 5x 17

945:3x 3x 3x 5x 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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 44853274368000/(1x1800)

LCM = 44853274368000/1800

LCM = 24918485760

Thus, we can understand that the LCM of 768,415,876,170,945 is 24918485760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 415, 876, 170, 945

1. What is the LCM of 768, 415, 876, 170, 945?

Answer: LCM of 768, 415, 876, 170, 945 is 24918485760.

2. How to calculate the LCM of 768, 415, 876, 170, 945?

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, 415, 876, 170, 945.

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}.