LCM of 697, 943, 989, 938, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 943, 989, 938, 406 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 697, 943, 989, 938, 406. So, keep reading to learn more.
Given numbers are 697,943,989,938,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,943,989,938,406 is 18751236266.
Find LCM of 697,943,989,938,406 with Prime Factorization
| 2 | 697, 943, 989, 938, 406 |
| 7 | 697, 943, 989, 469, 203 |
| 23 | 697, 943, 989, 67, 29 |
| 41 | 697, 41, 43, 67, 29 |
| 17, 1, 43, 67, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 41 x 17 x 1 x 43 x 67 x 29 = 18751236266
Therefore, the lowest common multiple of 697,943,989,938,406 is 18751236266.
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.
697 x 943 x 989 x 938 x 406 = 247553821183732
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.
697 : 1, 17, 41, 697
943 : 1, 23, 41, 943
989 : 1, 23, 43, 989
938 : 1, 2, 7, 14, 67, 134, 469, 938
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,943,989,938,406, is 1.
Now, the common factors can be found like this.
697:17x 41
943:23x 41
989:23x 43
938:2x 7x 67
406:2x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23x 41 = 13202
Therefore, the value for common factors is 13202.
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 = 247553821183732/(1x13202)
LCM = 247553821183732/13202
LCM = 18751236266
Thus, we can understand that the LCM of 697,943,989,938,406 is 18751236266.
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FAQs on LCM of 697, 943, 989, 938, 406
1. What is the LCM of 697, 943, 989, 938, 406?
Answer: LCM of 697, 943, 989, 938, 406 is 18751236266.
2. How to calculate the LCM of 697, 943, 989, 938, 406?
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 697, 943, 989, 938, 406.
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}.