LCM of 667, 398, 690, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 398, 690, 310 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 667, 398, 690, 310. So, keep reading to learn more.
Given numbers are 667,398,690,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,398,690,310 is 123441690.
Find LCM of 667,398,690,310 with Prime Factorization
| 2 | 667, 398, 690, 310 |
| 5 | 667, 199, 345, 155 |
| 23 | 667, 199, 69, 31 |
| 29, 199, 3, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 29 x 199 x 3 x 31 = 123441690
Therefore, the lowest common multiple of 667,398,690,310 is 123441690.
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.
667 x 398 x 690 x 310 = 56783177400
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.
667 : 1, 23, 29, 667
398 : 1, 2, 199, 398
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,398,690,310, is 1.
Now, the common factors can be found like this.
667:23x 29
398:2x 199
690:2x 3x 5x 23
310:2x 5x 31
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 23 = 460
Therefore, the value for common factors is 460.
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 = 56783177400/(1x460)
LCM = 56783177400/460
LCM = 123441690
Thus, we can understand that the LCM of 667,398,690,310 is 123441690.
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FAQs on LCM of 667, 398, 690, 310
1. What is the LCM of 667, 398, 690, 310?
Answer: LCM of 667, 398, 690, 310 is 123441690.
2. How to calculate the LCM of 667, 398, 690, 310?
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 667, 398, 690, 310.
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}.