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LCM of 783, 900, 875, 678

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


Find the LCM of 783, 900, 875, 678 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, 900, 875, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,900,875,678

Given numbers are 783,900,875,678

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

The LCM of 783,900,875,678 is 309676500.

Find LCM of 783,900,875,678 with Prime Factorization


2 783, 900, 875, 678
3 783, 450, 875, 339
3 261, 150, 875, 113
5 87, 50, 875, 113
5 87, 10, 175, 113
87, 2, 35, 113

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

2 x 3 x 3 x 5 x 5 x 87 x 2 x 35 x 113 = 309676500

Therefore, the lowest common multiple of 783,900,875,678 is 309676500.

LCM Formula to Find Lowest Common Multiple of 783,900,875,678

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 900 x 875 x 678 = 418063275000

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

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

875 : 1, 5, 7, 25, 35, 125, 175, 875

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,900,875,678, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

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

875:5x 5x 5x 7

678:2x 3x 113

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 418063275000/(1x1350)

LCM = 418063275000/1350

LCM = 309676500

Thus, we can understand that the LCM of 783,900,875,678 is 309676500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 900, 875, 678

1. What is the LCM of 783, 900, 875, 678?

Answer: LCM of 783, 900, 875, 678 is 309676500.

2. How to calculate the LCM of 783, 900, 875, 678?

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, 900, 875, 678.

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}.