LCM of 302, 340, 870, 150, 453
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 340, 870, 150, 453 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 302, 340, 870, 150, 453. So, keep reading to learn more.
Given numbers are 302,340,870,150,453
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,340,870,150,453 is 22332900.
Find LCM of 302,340,870,150,453 with Prime Factorization
| 2 | 302, 340, 870, 150, 453 |
| 3 | 151, 170, 435, 75, 453 |
| 5 | 151, 170, 145, 25, 151 |
| 151 | 151, 34, 29, 5, 151 |
| 1, 34, 29, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 151 x 1 x 34 x 29 x 5 x 1 = 22332900
Therefore, the lowest common multiple of 302,340,870,150,453 is 22332900.
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.
302 x 340 x 870 x 150 x 453 = 6070082220000
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.
302 : 1, 2, 151, 302
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
453 : 1, 3, 151, 453
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,340,870,150,453, is 1.
Now, the common factors can be found like this.
302:2x 151
340:2x 2x 5x 17
870:2x 3x 5x 29
150:2x 3x 5x 5
453:3x 151
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 3x 3x 5x 5x 151 = 271800
Therefore, the value for common factors is 271800.
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 = 6070082220000/(1x271800)
LCM = 6070082220000/271800
LCM = 22332900
Thus, we can understand that the LCM of 302,340,870,150,453 is 22332900.
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FAQs on LCM of 302, 340, 870, 150, 453
1. What is the LCM of 302, 340, 870, 150, 453?
Answer: LCM of 302, 340, 870, 150, 453 is 22332900.
2. How to calculate the LCM of 302, 340, 870, 150, 453?
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 302, 340, 870, 150, 453.
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}.