LCM of 416, 812, 841, 894, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 812, 841, 894, 637 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 416, 812, 841, 894, 637. So, keep reading to learn more.
Given numbers are 416,812,841,894,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,812,841,894,637 is 7662895968.
Find LCM of 416,812,841,894,637 with Prime Factorization
| 2 | 416, 812, 841, 894, 637 |
| 2 | 208, 406, 841, 447, 637 |
| 7 | 104, 203, 841, 447, 637 |
| 13 | 104, 29, 841, 447, 91 |
| 29 | 8, 29, 841, 447, 7 |
| 8, 1, 29, 447, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 29 x 8 x 1 x 29 x 447 x 7 = 7662895968
Therefore, the lowest common multiple of 416,812,841,894,637 is 7662895968.
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.
416 x 812 x 841 x 894 x 637 = 161779059676416
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
841 : 1, 29, 841
894 : 1, 2, 3, 6, 149, 298, 447, 894
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,812,841,894,637, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
812:2x 2x 7x 29
841:29x 29
894:2x 3x 149
637:7x 7x 13
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 7x 13x 29 = 21112
Therefore, the value for common factors is 21112.
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 = 161779059676416/(1x21112)
LCM = 161779059676416/21112
LCM = 7662895968
Thus, we can understand that the LCM of 416,812,841,894,637 is 7662895968.
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FAQs on LCM of 416, 812, 841, 894, 637
1. What is the LCM of 416, 812, 841, 894, 637?
Answer: LCM of 416, 812, 841, 894, 637 is 7662895968.
2. How to calculate the LCM of 416, 812, 841, 894, 637?
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 416, 812, 841, 894, 637.
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}.