LCM of 414, 846, 286, 803, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 846, 286, 803, 971 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 414, 846, 286, 803, 971. So, keep reading to learn more.
Given numbers are 414,846,286,803,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,846,286,803,971 is 197231522202.
Find LCM of 414,846,286,803,971 with Prime Factorization
| 2 | 414, 846, 286, 803, 971 |
| 3 | 207, 423, 143, 803, 971 |
| 3 | 69, 141, 143, 803, 971 |
| 11 | 23, 47, 143, 803, 971 |
| 23, 47, 13, 73, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 23 x 47 x 13 x 73 x 971 = 197231522202
Therefore, the lowest common multiple of 414,846,286,803,971 is 197231522202.
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.
414 x 846 x 286 x 803 x 971 = 78103682791992
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
286 : 1, 2, 11, 13, 22, 26, 143, 286
803 : 1, 11, 73, 803
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,846,286,803,971, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
846:2x 3x 3x 47
286:2x 11x 13
803:11x 73
971:971
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 11 = 396
Therefore, the value for common factors is 396.
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 = 78103682791992/(1x396)
LCM = 78103682791992/396
LCM = 197231522202
Thus, we can understand that the LCM of 414,846,286,803,971 is 197231522202.
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FAQs on LCM of 414, 846, 286, 803, 971
1. What is the LCM of 414, 846, 286, 803, 971?
Answer: LCM of 414, 846, 286, 803, 971 is 197231522202.
2. How to calculate the LCM of 414, 846, 286, 803, 971?
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 414, 846, 286, 803, 971.
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}.