LCM of 403, 636, 310, 846, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 636, 310, 846, 875 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 403, 636, 310, 846, 875. So, keep reading to learn more.
Given numbers are 403,636,310,846,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,636,310,846,875 is 31621999500.
Find LCM of 403,636,310,846,875 with Prime Factorization
| 2 | 403, 636, 310, 846, 875 |
| 3 | 403, 318, 155, 423, 875 |
| 5 | 403, 106, 155, 141, 875 |
| 31 | 403, 106, 31, 141, 175 |
| 13, 106, 1, 141, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 13 x 106 x 1 x 141 x 175 = 31621999500
Therefore, the lowest common multiple of 403,636,310,846,875 is 31621999500.
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.
403 x 636 x 310 x 846 x 875 = 58816919070000
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.
403 : 1, 13, 31, 403
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
310 : 1, 2, 5, 10, 31, 62, 155, 310
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,636,310,846,875, is 1.
Now, the common factors can be found like this.
403:13x 31
636:2x 2x 3x 53
310:2x 5x 31
846:2x 3x 3x 47
875:5x 5x 5x 7
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 5x 31 = 1860
Therefore, the value for common factors is 1860.
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 = 58816919070000/(1x1860)
LCM = 58816919070000/1860
LCM = 31621999500
Thus, we can understand that the LCM of 403,636,310,846,875 is 31621999500.
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FAQs on LCM of 403, 636, 310, 846, 875
1. What is the LCM of 403, 636, 310, 846, 875?
Answer: LCM of 403, 636, 310, 846, 875 is 31621999500.
2. How to calculate the LCM of 403, 636, 310, 846, 875?
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 403, 636, 310, 846, 875.
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}.