LCM of 190, 143, 240, 689, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 143, 240, 689, 855 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 190, 143, 240, 689, 855. So, keep reading to learn more.
Given numbers are 190,143,240,689,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,143,240,689,855 is 103680720.
Find LCM of 190,143,240,689,855 with Prime Factorization
| 2 | 190, 143, 240, 689, 855 |
| 3 | 95, 143, 120, 689, 855 |
| 5 | 95, 143, 40, 689, 285 |
| 13 | 19, 143, 8, 689, 57 |
| 19 | 19, 11, 8, 53, 57 |
| 1, 11, 8, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 19 x 1 x 11 x 8 x 53 x 3 = 103680720
Therefore, the lowest common multiple of 190,143,240,689,855 is 103680720.
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.
190 x 143 x 240 x 689 x 855 = 3841370676000
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
143 : 1, 11, 13, 143
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
689 : 1, 13, 53, 689
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,143,240,689,855, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
143:11x 13
240:2x 2x 2x 2x 3x 5
689:13x 53
855:3x 3x 5x 19
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 5x 5x 13x 19 = 37050
Therefore, the value for common factors is 37050.
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 = 3841370676000/(1x37050)
LCM = 3841370676000/37050
LCM = 103680720
Thus, we can understand that the LCM of 190,143,240,689,855 is 103680720.
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FAQs on LCM of 190, 143, 240, 689, 855
1. What is the LCM of 190, 143, 240, 689, 855?
Answer: LCM of 190, 143, 240, 689, 855 is 103680720.
2. How to calculate the LCM of 190, 143, 240, 689, 855?
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 190, 143, 240, 689, 855.
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}.