LCM of 706, 980, 946, 924, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 980, 946, 924, 912 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 706, 980, 946, 924, 912. So, keep reading to learn more.
Given numbers are 706,980,946,924,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,980,946,924,912 is 37307553360.
Find LCM of 706,980,946,924,912 with Prime Factorization
| 2 | 706, 980, 946, 924, 912 |
| 2 | 353, 490, 473, 462, 456 |
| 3 | 353, 245, 473, 231, 228 |
| 7 | 353, 245, 473, 77, 76 |
| 11 | 353, 35, 473, 11, 76 |
| 353, 35, 43, 1, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 353 x 35 x 43 x 1 x 76 = 37307553360
Therefore, the lowest common multiple of 706,980,946,924,912 is 37307553360.
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.
706 x 980 x 946 x 924 x 912 = 551554868874240
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.
706 : 1, 2, 353, 706
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
946 : 1, 2, 11, 22, 43, 86, 473, 946
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,980,946,924,912, is 2.
Now, the common factors can be found like this.
706:2x 353
980:2x 2x 5x 7x 7
946:2x 11x 43
924:2x 2x 3x 7x 11
912:2x 2x 2x 2x 3x 19
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 2x 3x 7x 11 = 7392
Therefore, the value for common factors is 7392.
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 = 551554868874240/(2x7392)
LCM = 551554868874240/14784
LCM = 37307553360
Thus, we can understand that the LCM of 706,980,946,924,912 is 37307553360.
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FAQs on LCM of 706, 980, 946, 924, 912
1. What is the LCM of 706, 980, 946, 924, 912?
Answer: LCM of 706, 980, 946, 924, 912 is 37307553360.
2. How to calculate the LCM of 706, 980, 946, 924, 912?
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 706, 980, 946, 924, 912.
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}.