LCM of 436, 385, 770, 661, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 385, 770, 661, 331 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 436, 385, 770, 661, 331. So, keep reading to learn more.
Given numbers are 436,385,770,661,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,385,770,661,331 is 36726257260.
Find LCM of 436,385,770,661,331 with Prime Factorization
| 2 | 436, 385, 770, 661, 331 |
| 5 | 218, 385, 385, 661, 331 |
| 7 | 218, 77, 77, 661, 331 |
| 11 | 218, 11, 11, 661, 331 |
| 218, 1, 1, 661, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 218 x 1 x 1 x 661 x 331 = 36726257260
Therefore, the lowest common multiple of 436,385,770,661,331 is 36726257260.
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.
436 x 385 x 770 x 661 x 331 = 28279218090200
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.
436 : 1, 2, 4, 109, 218, 436
385 : 1, 5, 7, 11, 35, 55, 77, 385
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
661 : 1, 661
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,385,770,661,331, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
385:5x 7x 11
770:2x 5x 7x 11
661:661
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11 = 770
Therefore, the value for common factors is 770.
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 = 28279218090200/(1x770)
LCM = 28279218090200/770
LCM = 36726257260
Thus, we can understand that the LCM of 436,385,770,661,331 is 36726257260.
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FAQs on LCM of 436, 385, 770, 661, 331
1. What is the LCM of 436, 385, 770, 661, 331?
Answer: LCM of 436, 385, 770, 661, 331 is 36726257260.
2. How to calculate the LCM of 436, 385, 770, 661, 331?
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 436, 385, 770, 661, 331.
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}.