LCM of 916, 943, 908, 870, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 943, 908, 870, 565 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, 943, 908, 870, 565. So, keep reading to learn more.
Given numbers are 916,943,908,870,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,943,908,870,565 is 9638306304780.
Find LCM of 916,943,908,870,565 with Prime Factorization
| 2 | 916, 943, 908, 870, 565 |
| 2 | 458, 943, 454, 435, 565 |
| 5 | 229, 943, 227, 435, 565 |
| 229, 943, 227, 87, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 229 x 943 x 227 x 87 x 113 = 9638306304780
Therefore, the lowest common multiple of 916,943,908,870,565 is 9638306304780.
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 943 x 908 x 870 x 565 = 385532252191200
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
943 : 1, 23, 41, 943
908 : 1, 2, 4, 227, 454, 908
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,943,908,870,565, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
943:23x 41
908:2x 2x 227
870:2x 3x 5x 29
565:5x 113
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 5 = 40
Therefore, the value for common factors is 40.
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 = 385532252191200/(1x40)
LCM = 385532252191200/40
LCM = 9638306304780
Thus, we can understand that the LCM of 916,943,908,870,565 is 9638306304780.
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FAQs on LCM of 916, 943, 908, 870, 565
1. What is the LCM of 916, 943, 908, 870, 565?
Answer: LCM of 916, 943, 908, 870, 565 is 9638306304780.
2. How to calculate the LCM of 916, 943, 908, 870, 565?
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, 943, 908, 870, 565.
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}.