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LCM of 128, 254, 515, 107

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


Find the LCM of 128, 254, 515, 107 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 128, 254, 515, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 128,254,515,107

Given numbers are 128,254,515,107

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

The LCM of 128,254,515,107 is 895786880.

Find LCM of 128,254,515,107 with Prime Factorization


2 128, 254, 515, 107
64, 127, 515, 107

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

2 x 64 x 127 x 515 x 107 = 895786880

Therefore, the lowest common multiple of 128,254,515,107 is 895786880.

LCM Formula to Find Lowest Common Multiple of 128,254,515,107

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.

128 x 254 x 515 x 107 = 1791573760

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.

128 : 1, 2, 4, 8, 16, 32, 64, 128

254 : 1, 2, 127, 254

515 : 1, 5, 103, 515

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,254,515,107, is 1.

Now, the common factors can be found like this.

128:2x 2x 2x 2x 2x 2x 2

254:2x 127

515:5x 103

107:107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 1791573760/(1x2)

LCM = 1791573760/2

LCM = 895786880

Thus, we can understand that the LCM of 128,254,515,107 is 895786880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 128, 254, 515, 107

1. What is the LCM of 128, 254, 515, 107?

Answer: LCM of 128, 254, 515, 107 is 895786880.

2. How to calculate the LCM of 128, 254, 515, 107?

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 128, 254, 515, 107.

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}.