LCM of 420, 579, 275, 473, 863
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 579, 275, 473, 863 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 420, 579, 275, 473, 863. So, keep reading to learn more.
Given numbers are 420,579,275,473,863
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,579,275,473,863 is 165443054700.
Find LCM of 420,579,275,473,863 with Prime Factorization
| 3 | 420, 579, 275, 473, 863 |
| 5 | 140, 193, 275, 473, 863 |
| 11 | 28, 193, 55, 473, 863 |
| 28, 193, 5, 43, 863 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 28 x 193 x 5 x 43 x 863 = 165443054700
Therefore, the lowest common multiple of 420,579,275,473,863 is 165443054700.
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.
420 x 579 x 275 x 473 x 863 = 27298104025500
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.
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
579 : 1, 3, 193, 579
275 : 1, 5, 11, 25, 55, 275
473 : 1, 11, 43, 473
863 : 1, 863
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,579,275,473,863, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
579:3x 193
275:5x 5x 11
473:11x 43
863:863
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 27298104025500/(1x165)
LCM = 27298104025500/165
LCM = 165443054700
Thus, we can understand that the LCM of 420,579,275,473,863 is 165443054700.
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FAQs on LCM of 420, 579, 275, 473, 863
1. What is the LCM of 420, 579, 275, 473, 863?
Answer: LCM of 420, 579, 275, 473, 863 is 165443054700.
2. How to calculate the LCM of 420, 579, 275, 473, 863?
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 420, 579, 275, 473, 863.
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}.