LCM of 642, 990, 180, 619, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 990, 180, 619, 697 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 642, 990, 180, 619, 697. So, keep reading to learn more.
Given numbers are 642,990,180,619,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,990,180,619,697 is 91405513980.
Find LCM of 642,990,180,619,697 with Prime Factorization
| 2 | 642, 990, 180, 619, 697 |
| 3 | 321, 495, 90, 619, 697 |
| 3 | 107, 165, 30, 619, 697 |
| 5 | 107, 55, 10, 619, 697 |
| 107, 11, 2, 619, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 107 x 11 x 2 x 619 x 697 = 91405513980
Therefore, the lowest common multiple of 642,990,180,619,697 is 91405513980.
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.
642 x 990 x 180 x 619 x 697 = 49358977549200
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
619 : 1, 619
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,990,180,619,697, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
990:2x 3x 3x 5x 11
180:2x 2x 3x 3x 5
619:619
697:17x 41
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 5 = 540
Therefore, the value for common factors is 540.
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 = 49358977549200/(1x540)
LCM = 49358977549200/540
LCM = 91405513980
Thus, we can understand that the LCM of 642,990,180,619,697 is 91405513980.
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FAQs on LCM of 642, 990, 180, 619, 697
1. What is the LCM of 642, 990, 180, 619, 697?
Answer: LCM of 642, 990, 180, 619, 697 is 91405513980.
2. How to calculate the LCM of 642, 990, 180, 619, 697?
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 642, 990, 180, 619, 697.
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}.