LCM of 946, 616, 690, 160, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 616, 690, 160, 723 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 946, 616, 690, 160, 723. So, keep reading to learn more.
Given numbers are 946,616,690,160,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,616,690,160,723 is 8809379040.
Find LCM of 946,616,690,160,723 with Prime Factorization
| 2 | 946, 616, 690, 160, 723 |
| 2 | 473, 308, 345, 80, 723 |
| 2 | 473, 154, 345, 40, 723 |
| 3 | 473, 77, 345, 20, 723 |
| 5 | 473, 77, 115, 20, 241 |
| 11 | 473, 77, 23, 4, 241 |
| 43, 7, 23, 4, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 43 x 7 x 23 x 4 x 241 = 8809379040
Therefore, the lowest common multiple of 946,616,690,160,723 is 8809379040.
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.
946 x 616 x 690 x 160 x 723 = 46513521331200
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,616,690,160,723, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
616:2x 2x 2x 7x 11
690:2x 3x 5x 23
160:2x 2x 2x 2x 2x 5
723:3x 241
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 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 46513521331200/(1x5280)
LCM = 46513521331200/5280
LCM = 8809379040
Thus, we can understand that the LCM of 946,616,690,160,723 is 8809379040.
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FAQs on LCM of 946, 616, 690, 160, 723
1. What is the LCM of 946, 616, 690, 160, 723?
Answer: LCM of 946, 616, 690, 160, 723 is 8809379040.
2. How to calculate the LCM of 946, 616, 690, 160, 723?
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 946, 616, 690, 160, 723.
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}.