LCM of 887, 420, 800, 236, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 420, 800, 236, 506 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 887, 420, 800, 236, 506. So, keep reading to learn more.
Given numbers are 887,420,800,236,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,420,800,236,506 is 222436183200.
Find LCM of 887,420,800,236,506 with Prime Factorization
| 2 | 887, 420, 800, 236, 506 |
| 2 | 887, 210, 400, 118, 253 |
| 5 | 887, 105, 200, 59, 253 |
| 887, 21, 40, 59, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 887 x 21 x 40 x 59 x 253 = 222436183200
Therefore, the lowest common multiple of 887,420,800,236,506 is 222436183200.
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.
887 x 420 x 800 x 236 x 506 = 35589789312000
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.
887 : 1, 887
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
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
236 : 1, 2, 4, 59, 118, 236
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,420,800,236,506, is 1.
Now, the common factors can be found like this.
887:887
420:2x 2x 3x 5x 7
800:2x 2x 2x 2x 2x 5x 5
236:2x 2x 59
506:2x 11x 23
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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 35589789312000/(1x160)
LCM = 35589789312000/160
LCM = 222436183200
Thus, we can understand that the LCM of 887,420,800,236,506 is 222436183200.
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FAQs on LCM of 887, 420, 800, 236, 506
1. What is the LCM of 887, 420, 800, 236, 506?
Answer: LCM of 887, 420, 800, 236, 506 is 222436183200.
2. How to calculate the LCM of 887, 420, 800, 236, 506?
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 887, 420, 800, 236, 506.
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}.