LCM of 814, 214, 942, 550, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 214, 942, 550, 639 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 814, 214, 942, 550, 639. So, keep reading to learn more.
Given numbers are 814,214,942,550,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,214,942,550,639 is 218448316350.
Find LCM of 814,214,942,550,639 with Prime Factorization
| 2 | 814, 214, 942, 550, 639 |
| 3 | 407, 107, 471, 275, 639 |
| 11 | 407, 107, 157, 275, 213 |
| 37, 107, 157, 25, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 107 x 157 x 25 x 213 = 218448316350
Therefore, the lowest common multiple of 814,214,942,550,639 is 218448316350.
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.
814 x 214 x 942 x 550 x 639 = 57670355516400
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
214 : 1, 2, 107, 214
942 : 1, 2, 3, 6, 157, 314, 471, 942
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,214,942,550,639, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
214:2x 107
942:2x 3x 157
550:2x 5x 5x 11
639:3x 3x 71
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 57670355516400/(1x264)
LCM = 57670355516400/264
LCM = 218448316350
Thus, we can understand that the LCM of 814,214,942,550,639 is 218448316350.
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FAQs on LCM of 814, 214, 942, 550, 639
1. What is the LCM of 814, 214, 942, 550, 639?
Answer: LCM of 814, 214, 942, 550, 639 is 218448316350.
2. How to calculate the LCM of 814, 214, 942, 550, 639?
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 814, 214, 942, 550, 639.
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}.