LCM of 684, 237, 867, 578, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 237, 867, 578, 119 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 684, 237, 867, 578, 119. So, keep reading to learn more.
Given numbers are 684,237,867,578,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,237,867,578,119 is 109314828.
Find LCM of 684,237,867,578,119 with Prime Factorization
| 2 | 684, 237, 867, 578, 119 |
| 3 | 342, 237, 867, 289, 119 |
| 17 | 114, 79, 289, 289, 119 |
| 17 | 114, 79, 17, 17, 7 |
| 114, 79, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 17 x 114 x 79 x 1 x 1 x 7 = 109314828
Therefore, the lowest common multiple of 684,237,867,578,119 is 109314828.
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.
684 x 237 x 867 x 578 x 119 = 9667147499352
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
237 : 1, 3, 79, 237
867 : 1, 3, 17, 51, 289, 867
578 : 1, 2, 17, 34, 289, 578
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,237,867,578,119, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
237:3x 79
867:3x 17x 17
578:2x 17x 17
119:7x 17
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 17x 17x 17 = 88434
Therefore, the value for common factors is 88434.
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 = 9667147499352/(1x88434)
LCM = 9667147499352/88434
LCM = 109314828
Thus, we can understand that the LCM of 684,237,867,578,119 is 109314828.
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FAQs on LCM of 684, 237, 867, 578, 119
1. What is the LCM of 684, 237, 867, 578, 119?
Answer: LCM of 684, 237, 867, 578, 119 is 109314828.
2. How to calculate the LCM of 684, 237, 867, 578, 119?
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 684, 237, 867, 578, 119.
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}.