LCM of 434, 918, 867, 447, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 918, 867, 447, 120 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 434, 918, 867, 447, 120. So, keep reading to learn more.
Given numbers are 434,918,867,447,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,918,867,447,120 is 10091775960.
Find LCM of 434,918,867,447,120 with Prime Factorization
| 2 | 434, 918, 867, 447, 120 |
| 3 | 217, 459, 867, 447, 60 |
| 17 | 217, 153, 289, 149, 20 |
| 217, 9, 17, 149, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 217 x 9 x 17 x 149 x 20 = 10091775960
Therefore, the lowest common multiple of 434,918,867,447,120 is 10091775960.
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.
434 x 918 x 867 x 447 x 120 = 18528500662560
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
867 : 1, 3, 17, 51, 289, 867
447 : 1, 3, 149, 447
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,918,867,447,120, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
918:2x 3x 3x 3x 17
867:3x 17x 17
447:3x 149
120:2x 2x 2x 3x 5
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 17 = 1836
Therefore, the value for common factors is 1836.
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 = 18528500662560/(1x1836)
LCM = 18528500662560/1836
LCM = 10091775960
Thus, we can understand that the LCM of 434,918,867,447,120 is 10091775960.
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FAQs on LCM of 434, 918, 867, 447, 120
1. What is the LCM of 434, 918, 867, 447, 120?
Answer: LCM of 434, 918, 867, 447, 120 is 10091775960.
2. How to calculate the LCM of 434, 918, 867, 447, 120?
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 434, 918, 867, 447, 120.
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}.