LCM of 162, 690, 769, 640, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 690, 769, 640, 575 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 162, 690, 769, 640, 575. So, keep reading to learn more.
Given numbers are 162,690,769,640,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,690,769,640,575 is 4584470400.
Find LCM of 162,690,769,640,575 with Prime Factorization
| 2 | 162, 690, 769, 640, 575 |
| 3 | 81, 345, 769, 320, 575 |
| 5 | 27, 115, 769, 320, 575 |
| 23 | 27, 23, 769, 64, 115 |
| 27, 1, 769, 64, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 27 x 1 x 769 x 64 x 5 = 4584470400
Therefore, the lowest common multiple of 162,690,769,640,575 is 4584470400.
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.
162 x 690 x 769 x 640 x 575 = 31632845760000
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
769 : 1, 769
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,690,769,640,575, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
690:2x 3x 5x 23
769:769
640:2x 2x 2x 2x 2x 2x 2x 5
575:5x 5x 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 3x 5x 5x 23 = 6900
Therefore, the value for common factors is 6900.
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 = 31632845760000/(1x6900)
LCM = 31632845760000/6900
LCM = 4584470400
Thus, we can understand that the LCM of 162,690,769,640,575 is 4584470400.
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FAQs on LCM of 162, 690, 769, 640, 575
1. What is the LCM of 162, 690, 769, 640, 575?
Answer: LCM of 162, 690, 769, 640, 575 is 4584470400.
2. How to calculate the LCM of 162, 690, 769, 640, 575?
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 162, 690, 769, 640, 575.
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}.