LCM of 951, 242, 566, 142, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 242, 566, 142, 579 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 951, 242, 566, 142, 579. So, keep reading to learn more.
Given numbers are 951,242,566,142,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,242,566,142,579 is 892478938758.
Find LCM of 951,242,566,142,579 with Prime Factorization
| 2 | 951, 242, 566, 142, 579 |
| 3 | 951, 121, 283, 71, 579 |
| 317, 121, 283, 71, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 121 x 283 x 71 x 193 = 892478938758
Therefore, the lowest common multiple of 951,242,566,142,579 is 892478938758.
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.
951 x 242 x 566 x 142 x 579 = 10709747265096
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.
951 : 1, 3, 317, 951
242 : 1, 2, 11, 22, 121, 242
566 : 1, 2, 283, 566
142 : 1, 2, 71, 142
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,242,566,142,579, is 1.
Now, the common factors can be found like this.
951:3x 317
242:2x 11x 11
566:2x 283
142:2x 71
579:3x 193
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 3 = 12
Therefore, the value for common factors is 12.
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 = 10709747265096/(1x12)
LCM = 10709747265096/12
LCM = 892478938758
Thus, we can understand that the LCM of 951,242,566,142,579 is 892478938758.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 951, 242, 566, 142, 579
1. What is the LCM of 951, 242, 566, 142, 579?
Answer: LCM of 951, 242, 566, 142, 579 is 892478938758.
2. How to calculate the LCM of 951, 242, 566, 142, 579?
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 951, 242, 566, 142, 579.
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}.