LCM of 178, 363, 572, 100, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 363, 572, 100, 875 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 178, 363, 572, 100, 875. So, keep reading to learn more.
Given numbers are 178,363,572,100,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,363,572,100,875 is 1469968500.
Find LCM of 178,363,572,100,875 with Prime Factorization
| 2 | 178, 363, 572, 100, 875 |
| 2 | 89, 363, 286, 50, 875 |
| 5 | 89, 363, 143, 25, 875 |
| 5 | 89, 363, 143, 5, 175 |
| 11 | 89, 363, 143, 1, 35 |
| 89, 33, 13, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 89 x 33 x 13 x 1 x 35 = 1469968500
Therefore, the lowest common multiple of 178,363,572,100,875 is 1469968500.
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.
178 x 363 x 572 x 100 x 875 = 3233930700000
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.
178 : 1, 2, 89, 178
363 : 1, 3, 11, 33, 121, 363
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,363,572,100,875, is 1.
Now, the common factors can be found like this.
178:2x 89
363:3x 11x 11
572:2x 2x 11x 13
100:2x 2x 5x 5
875:5x 5x 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 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 3233930700000/(1x2200)
LCM = 3233930700000/2200
LCM = 1469968500
Thus, we can understand that the LCM of 178,363,572,100,875 is 1469968500.
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FAQs on LCM of 178, 363, 572, 100, 875
1. What is the LCM of 178, 363, 572, 100, 875?
Answer: LCM of 178, 363, 572, 100, 875 is 1469968500.
2. How to calculate the LCM of 178, 363, 572, 100, 875?
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 178, 363, 572, 100, 875.
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}.