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LCM of 859, 253, 256, 900

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


Find the LCM of 859, 253, 256, 900 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 859, 253, 256, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,253,256,900

Given numbers are 859,253,256,900

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

The LCM of 859,253,256,900 is 12518035200.

Find LCM of 859,253,256,900 with Prime Factorization


2 859, 253, 256, 900
2 859, 253, 128, 450
859, 253, 64, 225

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

2 x 2 x 859 x 253 x 64 x 225 = 12518035200

Therefore, the lowest common multiple of 859,253,256,900 is 12518035200.

LCM Formula to Find Lowest Common Multiple of 859,253,256,900

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.

859 x 253 x 256 x 900 = 50072140800

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.

859 : 1, 859

253 : 1, 11, 23, 253

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,253,256,900, is 1.

Now, the common factors can be found like this.

859:859

253:11x 23

256:2x 2x 2x 2x 2x 2x 2x 2

900:2x 2x 3x 3x 5x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 50072140800/(1x4)

LCM = 50072140800/4

LCM = 12518035200

Thus, we can understand that the LCM of 859,253,256,900 is 12518035200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 253, 256, 900

1. What is the LCM of 859, 253, 256, 900?

Answer: LCM of 859, 253, 256, 900 is 12518035200.

2. How to calculate the LCM of 859, 253, 256, 900?

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 859, 253, 256, 900.

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}.