LCM of 391, 207, 254, 132, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 207, 254, 132, 588 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 391, 207, 254, 132, 588. So, keep reading to learn more.
Given numbers are 391,207,254,132,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,207,254,132,588 is 963544428.
Find LCM of 391,207,254,132,588 with Prime Factorization
| 2 | 391, 207, 254, 132, 588 |
| 2 | 391, 207, 127, 66, 294 |
| 3 | 391, 207, 127, 33, 147 |
| 23 | 391, 69, 127, 11, 49 |
| 17, 3, 127, 11, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 17 x 3 x 127 x 11 x 49 = 963544428
Therefore, the lowest common multiple of 391,207,254,132,588 is 963544428.
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.
391 x 207 x 254 x 132 x 588 = 1595629572768
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.
391 : 1, 17, 23, 391
207 : 1, 3, 9, 23, 69, 207
254 : 1, 2, 127, 254
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,207,254,132,588, is 1.
Now, the common factors can be found like this.
391:17x 23
207:3x 3x 23
254:2x 127
132:2x 2x 3x 11
588:2x 2x 3x 7x 7
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 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 1595629572768/(1x1656)
LCM = 1595629572768/1656
LCM = 963544428
Thus, we can understand that the LCM of 391,207,254,132,588 is 963544428.
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FAQs on LCM of 391, 207, 254, 132, 588
1. What is the LCM of 391, 207, 254, 132, 588?
Answer: LCM of 391, 207, 254, 132, 588 is 963544428.
2. How to calculate the LCM of 391, 207, 254, 132, 588?
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 391, 207, 254, 132, 588.
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}.