LCM of 612, 972, 327, 711, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 972, 327, 711, 391 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 612, 972, 327, 711, 391. So, keep reading to learn more.
Given numbers are 612,972,327,711,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,972,327,711,391 is 3272627772.
Find LCM of 612,972,327,711,391 with Prime Factorization
| 2 | 612, 972, 327, 711, 391 |
| 2 | 306, 486, 327, 711, 391 |
| 3 | 153, 243, 327, 711, 391 |
| 3 | 51, 81, 109, 237, 391 |
| 17 | 17, 27, 109, 79, 391 |
| 1, 27, 109, 79, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 1 x 27 x 109 x 79 x 23 = 3272627772
Therefore, the lowest common multiple of 612,972,327,711,391 is 3272627772.
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.
612 x 972 x 327 x 711 x 391 = 54076901304528
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
327 : 1, 3, 109, 327
711 : 1, 3, 9, 79, 237, 711
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,972,327,711,391, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
972:2x 2x 3x 3x 3x 3x 3
327:3x 109
711:3x 3x 79
391:17x 23
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 3x 3x 3x 3x 3x 17 = 16524
Therefore, the value for common factors is 16524.
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 = 54076901304528/(1x16524)
LCM = 54076901304528/16524
LCM = 3272627772
Thus, we can understand that the LCM of 612,972,327,711,391 is 3272627772.
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FAQs on LCM of 612, 972, 327, 711, 391
1. What is the LCM of 612, 972, 327, 711, 391?
Answer: LCM of 612, 972, 327, 711, 391 is 3272627772.
2. How to calculate the LCM of 612, 972, 327, 711, 391?
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 612, 972, 327, 711, 391.
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}.