LCM of 640, 772, 946, 129, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 772, 946, 129, 938 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 640, 772, 946, 129, 938. So, keep reading to learn more.
Given numbers are 640,772,946,129,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,772,946,129,938 is 82203918720.
Find LCM of 640,772,946,129,938 with Prime Factorization
| 2 | 640, 772, 946, 129, 938 |
| 2 | 320, 386, 473, 129, 469 |
| 43 | 160, 193, 473, 129, 469 |
| 160, 193, 11, 3, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 160 x 193 x 11 x 3 x 469 = 82203918720
Therefore, the lowest common multiple of 640,772,946,129,938 is 82203918720.
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.
640 x 772 x 946 x 129 x 938 = 56556296079360
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
772 : 1, 2, 4, 193, 386, 772
946 : 1, 2, 11, 22, 43, 86, 473, 946
129 : 1, 3, 43, 129
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,772,946,129,938, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
772:2x 2x 193
946:2x 11x 43
129:3x 43
938:2x 7x 67
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 2x 43 = 688
Therefore, the value for common factors is 688.
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 = 56556296079360/(1x688)
LCM = 56556296079360/688
LCM = 82203918720
Thus, we can understand that the LCM of 640,772,946,129,938 is 82203918720.
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FAQs on LCM of 640, 772, 946, 129, 938
1. What is the LCM of 640, 772, 946, 129, 938?
Answer: LCM of 640, 772, 946, 129, 938 is 82203918720.
2. How to calculate the LCM of 640, 772, 946, 129, 938?
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 640, 772, 946, 129, 938.
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}.