LCM of 690, 850, 350, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 850, 350, 367 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 690, 850, 350, 367. So, keep reading to learn more.
Given numbers are 690,850,350,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,850,350,367 is 150671850.
Find LCM of 690,850,350,367 with Prime Factorization
| 2 | 690, 850, 350, 367 |
| 5 | 345, 425, 175, 367 |
| 5 | 69, 85, 35, 367 |
| 69, 17, 7, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 69 x 17 x 7 x 367 = 150671850
Therefore, the lowest common multiple of 690,850,350,367 is 150671850.
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.
690 x 850 x 350 x 367 = 75335925000
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,850,350,367, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
850:2x 5x 5x 17
350:2x 5x 5x 7
367:367
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 75335925000/(1x500)
LCM = 75335925000/500
LCM = 150671850
Thus, we can understand that the LCM of 690,850,350,367 is 150671850.
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FAQs on LCM of 690, 850, 350, 367
1. What is the LCM of 690, 850, 350, 367?
Answer: LCM of 690, 850, 350, 367 is 150671850.
2. How to calculate the LCM of 690, 850, 350, 367?
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 690, 850, 350, 367.
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}.