LCM of 450, 357, 517, 420, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 357, 517, 420, 302 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 450, 357, 517, 420, 302. So, keep reading to learn more.
Given numbers are 450,357,517,420,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,357,517,420,302 is 8360975700.
Find LCM of 450,357,517,420,302 with Prime Factorization
| 2 | 450, 357, 517, 420, 302 |
| 3 | 225, 357, 517, 210, 151 |
| 5 | 75, 119, 517, 70, 151 |
| 7 | 15, 119, 517, 14, 151 |
| 15, 17, 517, 2, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 15 x 17 x 517 x 2 x 151 = 8360975700
Therefore, the lowest common multiple of 450,357,517,420,302 is 8360975700.
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.
450 x 357 x 517 x 420 x 302 = 10534829382000
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
357 : 1, 3, 7, 17, 21, 51, 119, 357
517 : 1, 11, 47, 517
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,357,517,420,302, is 1.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
357:3x 7x 17
517:11x 47
420:2x 2x 3x 5x 7
302:2x 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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 10534829382000/(1x1260)
LCM = 10534829382000/1260
LCM = 8360975700
Thus, we can understand that the LCM of 450,357,517,420,302 is 8360975700.
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FAQs on LCM of 450, 357, 517, 420, 302
1. What is the LCM of 450, 357, 517, 420, 302?
Answer: LCM of 450, 357, 517, 420, 302 is 8360975700.
2. How to calculate the LCM of 450, 357, 517, 420, 302?
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 450, 357, 517, 420, 302.
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}.