LCM of 202, 462, 294, 879, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 462, 294, 879, 617 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 202, 462, 294, 879, 617. So, keep reading to learn more.
Given numbers are 202,462,294,879,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,462,294,879,617 is 59049221154.
Find LCM of 202,462,294,879,617 with Prime Factorization
| 2 | 202, 462, 294, 879, 617 |
| 3 | 101, 231, 147, 879, 617 |
| 7 | 101, 77, 49, 293, 617 |
| 101, 11, 7, 293, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 101 x 11 x 7 x 293 x 617 = 59049221154
Therefore, the lowest common multiple of 202,462,294,879,617 is 59049221154.
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.
202 x 462 x 294 x 879 x 617 = 14880403730808
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.
202 : 1, 2, 101, 202
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
879 : 1, 3, 293, 879
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,462,294,879,617, is 1.
Now, the common factors can be found like this.
202:2x 101
462:2x 3x 7x 11
294:2x 3x 7x 7
879:3x 293
617:617
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 7 = 252
Therefore, the value for common factors is 252.
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 = 14880403730808/(1x252)
LCM = 14880403730808/252
LCM = 59049221154
Thus, we can understand that the LCM of 202,462,294,879,617 is 59049221154.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 462, 294, 879, 617
1. What is the LCM of 202, 462, 294, 879, 617?
Answer: LCM of 202, 462, 294, 879, 617 is 59049221154.
2. How to calculate the LCM of 202, 462, 294, 879, 617?
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 202, 462, 294, 879, 617.
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}.