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LCM of 783, 878, 256, 150, 924

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


Find the LCM of 783, 878, 256, 150, 924 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 783, 878, 256, 150, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,878,256,150,924

Given numbers are 783,878,256,150,924

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

The LCM of 783,878,256,150,924 is 169393593600.

Find LCM of 783,878,256,150,924 with Prime Factorization


2 783, 878, 256, 150, 924
2 783, 439, 128, 75, 462
3 783, 439, 64, 75, 231
261, 439, 64, 25, 77

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

2 x 2 x 3 x 261 x 439 x 64 x 25 x 77 = 169393593600

Therefore, the lowest common multiple of 783,878,256,150,924 is 169393593600.

LCM Formula to Find Lowest Common Multiple of 783,878,256,150,924

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.

783 x 878 x 256 x 150 x 924 = 24392677478400

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

878 : 1, 2, 439, 878

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

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,878,256,150,924, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

878:2x 439

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

150:2x 3x 5x 5

924:2x 2x 3x 7x 11

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 24392677478400/(1x144)

LCM = 24392677478400/144

LCM = 169393593600

Thus, we can understand that the LCM of 783,878,256,150,924 is 169393593600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 878, 256, 150, 924

1. What is the LCM of 783, 878, 256, 150, 924?

Answer: LCM of 783, 878, 256, 150, 924 is 169393593600.

2. How to calculate the LCM of 783, 878, 256, 150, 924?

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 783, 878, 256, 150, 924.

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}.