LCM of 759, 985, 362, 420, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 985, 362, 420, 184 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 759, 985, 362, 420, 184. So, keep reading to learn more.
Given numbers are 759,985,362,420,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,985,362,420,184 is 7577825640.
Find LCM of 759,985,362,420,184 with Prime Factorization
| 2 | 759, 985, 362, 420, 184 |
| 2 | 759, 985, 181, 210, 92 |
| 3 | 759, 985, 181, 105, 46 |
| 5 | 253, 985, 181, 35, 46 |
| 23 | 253, 197, 181, 7, 46 |
| 11, 197, 181, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 11 x 197 x 181 x 7 x 2 = 7577825640
Therefore, the lowest common multiple of 759,985,362,420,184 is 7577825640.
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.
759 x 985 x 362 x 420 x 184 = 20914798766400
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
985 : 1, 5, 197, 985
362 : 1, 2, 181, 362
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,985,362,420,184, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
985:5x 197
362:2x 181
420:2x 2x 3x 5x 7
184:2x 2x 2x 23
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 2x 3x 5x 23 = 2760
Therefore, the value for common factors is 2760.
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 = 20914798766400/(1x2760)
LCM = 20914798766400/2760
LCM = 7577825640
Thus, we can understand that the LCM of 759,985,362,420,184 is 7577825640.
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FAQs on LCM of 759, 985, 362, 420, 184
1. What is the LCM of 759, 985, 362, 420, 184?
Answer: LCM of 759, 985, 362, 420, 184 is 7577825640.
2. How to calculate the LCM of 759, 985, 362, 420, 184?
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 759, 985, 362, 420, 184.
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}.