LCM of 853, 668, 965, 560, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 668, 965, 560, 944 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 853, 668, 965, 560, 944. So, keep reading to learn more.
Given numbers are 853,668,965,560,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,668,965,560,944 is 908370140720.
Find LCM of 853,668,965,560,944 with Prime Factorization
| 2 | 853, 668, 965, 560, 944 |
| 2 | 853, 334, 965, 280, 472 |
| 2 | 853, 167, 965, 140, 236 |
| 2 | 853, 167, 965, 70, 118 |
| 5 | 853, 167, 965, 35, 59 |
| 853, 167, 193, 7, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 853 x 167 x 193 x 7 x 59 = 908370140720
Therefore, the lowest common multiple of 853,668,965,560,944 is 908370140720.
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.
853 x 668 x 965 x 560 x 944 = 290678445030400
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.
853 : 1, 853
668 : 1, 2, 4, 167, 334, 668
965 : 1, 5, 193, 965
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,668,965,560,944, is 1.
Now, the common factors can be found like this.
853:853
668:2x 2x 167
965:5x 193
560:2x 2x 2x 2x 5x 7
944:2x 2x 2x 2x 59
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 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 290678445030400/(1x320)
LCM = 290678445030400/320
LCM = 908370140720
Thus, we can understand that the LCM of 853,668,965,560,944 is 908370140720.
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FAQs on LCM of 853, 668, 965, 560, 944
1. What is the LCM of 853, 668, 965, 560, 944?
Answer: LCM of 853, 668, 965, 560, 944 is 908370140720.
2. How to calculate the LCM of 853, 668, 965, 560, 944?
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 853, 668, 965, 560, 944.
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}.