LCM of 436, 956, 726, 634, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 956, 726, 634, 275 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, 956, 726, 634, 275. So, keep reading to learn more.
Given numbers are 436,956,726,634,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,956,726,634,275 is 299771462100.
Find LCM of 436,956,726,634,275 with Prime Factorization
| 2 | 436, 956, 726, 634, 275 |
| 2 | 218, 478, 363, 317, 275 |
| 11 | 109, 239, 363, 317, 275 |
| 109, 239, 33, 317, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 109 x 239 x 33 x 317 x 25 = 299771462100
Therefore, the lowest common multiple of 436,956,726,634,275 is 299771462100.
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 956 x 726 x 634 x 275 = 52759777329600
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
956 : 1, 2, 4, 239, 478, 956
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
634 : 1, 2, 317, 634
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,956,726,634,275, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
956:2x 2x 239
726:2x 3x 11x 11
634:2x 317
275:5x 5x 11
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 2x 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 52759777329600/(1x176)
LCM = 52759777329600/176
LCM = 299771462100
Thus, we can understand that the LCM of 436,956,726,634,275 is 299771462100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 436, 956, 726, 634, 275
1. What is the LCM of 436, 956, 726, 634, 275?
Answer: LCM of 436, 956, 726, 634, 275 is 299771462100.
2. How to calculate the LCM of 436, 956, 726, 634, 275?
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, 956, 726, 634, 275.
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}.