LCM of 916, 528, 766, 946, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 528, 766, 946, 979 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 916, 528, 766, 946, 979. So, keep reading to learn more.
Given numbers are 916,528,766,946,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,528,766,946,979 is 177225675792.
Find LCM of 916,528,766,946,979 with Prime Factorization
| 2 | 916, 528, 766, 946, 979 |
| 2 | 458, 264, 383, 473, 979 |
| 11 | 229, 132, 383, 473, 979 |
| 229, 12, 383, 43, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 229 x 12 x 383 x 43 x 89 = 177225675792
Therefore, the lowest common multiple of 916,528,766,946,979 is 177225675792.
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.
916 x 528 x 766 x 946 x 979 = 343108908333312
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.
916 : 1, 2, 4, 229, 458, 916
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
766 : 1, 2, 383, 766
946 : 1, 2, 11, 22, 43, 86, 473, 946
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,528,766,946,979, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
528:2x 2x 2x 2x 3x 11
766:2x 383
946:2x 11x 43
979:11x 89
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 343108908333312/(1x1936)
LCM = 343108908333312/1936
LCM = 177225675792
Thus, we can understand that the LCM of 916,528,766,946,979 is 177225675792.
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FAQs on LCM of 916, 528, 766, 946, 979
1. What is the LCM of 916, 528, 766, 946, 979?
Answer: LCM of 916, 528, 766, 946, 979 is 177225675792.
2. How to calculate the LCM of 916, 528, 766, 946, 979?
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 916, 528, 766, 946, 979.
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}.