LCM of 190, 276, 559, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 276, 559, 762 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, 276, 559, 762. So, keep reading to learn more.
Given numbers are 190,276,559,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,276,559,762 is 1861436460.
Find LCM of 190,276,559,762 with Prime Factorization
| 2 | 190, 276, 559, 762 |
| 3 | 95, 138, 559, 381 |
| 95, 46, 559, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 95 x 46 x 559 x 127 = 1861436460
Therefore, the lowest common multiple of 190,276,559,762 is 1861436460.
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 276 x 559 x 762 = 22337237520
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
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
559 : 1, 13, 43, 559
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,276,559,762, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
276:2x 2x 3x 23
559:13x 43
762:2x 3x 127
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 3 = 12
Therefore, the value for common factors is 12.
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 = 22337237520/(1x12)
LCM = 22337237520/12
LCM = 1861436460
Thus, we can understand that the LCM of 190,276,559,762 is 1861436460.
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FAQs on LCM of 190, 276, 559, 762
1. What is the LCM of 190, 276, 559, 762?
Answer: LCM of 190, 276, 559, 762 is 1861436460.
2. How to calculate the LCM of 190, 276, 559, 762?
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, 276, 559, 762.
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}.