LCM of 649, 138, 255, 456, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 138, 255, 456, 817 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 649, 138, 255, 456, 817. So, keep reading to learn more.
Given numbers are 649,138,255,456,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,138,255,456,817 is 24878532360.
Find LCM of 649,138,255,456,817 with Prime Factorization
| 2 | 649, 138, 255, 456, 817 |
| 3 | 649, 69, 255, 228, 817 |
| 19 | 649, 23, 85, 76, 817 |
| 649, 23, 85, 4, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 649 x 23 x 85 x 4 x 43 = 24878532360
Therefore, the lowest common multiple of 649,138,255,456,817 is 24878532360.
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.
649 x 138 x 255 x 456 x 817 = 8508458067120
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.
649 : 1, 11, 59, 649
138 : 1, 2, 3, 6, 23, 46, 69, 138
255 : 1, 3, 5, 15, 17, 51, 85, 255
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,138,255,456,817, is 1.
Now, the common factors can be found like this.
649:11x 59
138:2x 3x 23
255:3x 5x 17
456:2x 2x 2x 3x 19
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 8508458067120/(1x342)
LCM = 8508458067120/342
LCM = 24878532360
Thus, we can understand that the LCM of 649,138,255,456,817 is 24878532360.
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FAQs on LCM of 649, 138, 255, 456, 817
1. What is the LCM of 649, 138, 255, 456, 817?
Answer: LCM of 649, 138, 255, 456, 817 is 24878532360.
2. How to calculate the LCM of 649, 138, 255, 456, 817?
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 649, 138, 255, 456, 817.
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}.