LCM of 745, 802, 420, 905, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 802, 420, 905, 200 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 745, 802, 420, 905, 200. So, keep reading to learn more.
Given numbers are 745,802,420,905,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,802,420,905,200 is 45421189800.
Find LCM of 745,802,420,905,200 with Prime Factorization
| 2 | 745, 802, 420, 905, 200 |
| 2 | 745, 401, 210, 905, 100 |
| 5 | 745, 401, 105, 905, 50 |
| 149, 401, 21, 181, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 149 x 401 x 21 x 181 x 10 = 45421189800
Therefore, the lowest common multiple of 745,802,420,905,200 is 45421189800.
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.
745 x 802 x 420 x 905 x 200 = 45421189800000
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.
745 : 1, 5, 149, 745
802 : 1, 2, 401, 802
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
905 : 1, 5, 181, 905
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,802,420,905,200, is 1.
Now, the common factors can be found like this.
745:5x 149
802:2x 401
420:2x 2x 3x 5x 7
905:5x 181
200:2x 2x 2x 5x 5
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 5 = 1000
Therefore, the value for common factors is 1000.
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 = 45421189800000/(1x1000)
LCM = 45421189800000/1000
LCM = 45421189800
Thus, we can understand that the LCM of 745,802,420,905,200 is 45421189800.
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FAQs on LCM of 745, 802, 420, 905, 200
1. What is the LCM of 745, 802, 420, 905, 200?
Answer: LCM of 745, 802, 420, 905, 200 is 45421189800.
2. How to calculate the LCM of 745, 802, 420, 905, 200?
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 745, 802, 420, 905, 200.
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}.