LCM of 943, 713, 172, 294, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 713, 172, 294, 108 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 943, 713, 172, 294, 108. So, keep reading to learn more.
Given numbers are 943,713,172,294,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,713,172,294,108 is 6652144548.
Find LCM of 943,713,172,294,108 with Prime Factorization
| 2 | 943, 713, 172, 294, 108 |
| 2 | 943, 713, 86, 147, 54 |
| 3 | 943, 713, 43, 147, 27 |
| 23 | 943, 713, 43, 49, 9 |
| 41, 31, 43, 49, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 41 x 31 x 43 x 49 x 9 = 6652144548
Therefore, the lowest common multiple of 943,713,172,294,108 is 6652144548.
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.
943 x 713 x 172 x 294 x 108 = 3671983790496
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.
943 : 1, 23, 41, 943
713 : 1, 23, 31, 713
172 : 1, 2, 4, 43, 86, 172
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,713,172,294,108, is 1.
Now, the common factors can be found like this.
943:23x 41
713:23x 31
172:2x 2x 43
294:2x 3x 7x 7
108:2x 2x 3x 3x 3
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 23 = 552
Therefore, the value for common factors is 552.
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 = 3671983790496/(1x552)
LCM = 3671983790496/552
LCM = 6652144548
Thus, we can understand that the LCM of 943,713,172,294,108 is 6652144548.
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FAQs on LCM of 943, 713, 172, 294, 108
1. What is the LCM of 943, 713, 172, 294, 108?
Answer: LCM of 943, 713, 172, 294, 108 is 6652144548.
2. How to calculate the LCM of 943, 713, 172, 294, 108?
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 943, 713, 172, 294, 108.
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}.