LCM of 961, 200, 526, 946, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 200, 526, 946, 828 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 961, 200, 526, 946, 828. So, keep reading to learn more.
Given numbers are 961,200,526,946,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,200,526,946,828 is 4949263974600.
Find LCM of 961,200,526,946,828 with Prime Factorization
| 2 | 961, 200, 526, 946, 828 |
| 2 | 961, 100, 263, 473, 414 |
| 961, 50, 263, 473, 207 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 961 x 50 x 263 x 473 x 207 = 4949263974600
Therefore, the lowest common multiple of 961,200,526,946,828 is 4949263974600.
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.
961 x 200 x 526 x 946 x 828 = 79188223593600
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.
961 : 1, 31, 961
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
526 : 1, 2, 263, 526
946 : 1, 2, 11, 22, 43, 86, 473, 946
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,200,526,946,828, is 1.
Now, the common factors can be found like this.
961:31x 31
200:2x 2x 2x 5x 5
526:2x 263
946:2x 11x 43
828:2x 2x 3x 3x 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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 79188223593600/(1x16)
LCM = 79188223593600/16
LCM = 4949263974600
Thus, we can understand that the LCM of 961,200,526,946,828 is 4949263974600.
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FAQs on LCM of 961, 200, 526, 946, 828
1. What is the LCM of 961, 200, 526, 946, 828?
Answer: LCM of 961, 200, 526, 946, 828 is 4949263974600.
2. How to calculate the LCM of 961, 200, 526, 946, 828?
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 961, 200, 526, 946, 828.
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}.