LCM of 685, 613, 924, 946, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 613, 924, 946, 685 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 685, 613, 924, 946, 685. So, keep reading to learn more.
Given numbers are 685,613,924,946,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,613,924,946,685 is 16683665460.
Find LCM of 685,613,924,946,685 with Prime Factorization
| 2 | 685, 613, 924, 946, 685 |
| 5 | 685, 613, 462, 473, 685 |
| 11 | 137, 613, 462, 473, 137 |
| 137 | 137, 613, 42, 43, 137 |
| 1, 613, 42, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 137 x 1 x 613 x 42 x 43 x 1 = 16683665460
Therefore, the lowest common multiple of 685,613,924,946,685 is 16683665460.
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.
685 x 613 x 924 x 946 x 685 = 251422838482200
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.
685 : 1, 5, 137, 685
613 : 1, 613
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
946 : 1, 2, 11, 22, 43, 86, 473, 946
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,613,924,946,685, is 1.
Now, the common factors can be found like this.
685:5x 137
613:613
924:2x 2x 3x 7x 11
946:2x 11x 43
685:5x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 137 = 15070
Therefore, the value for common factors is 15070.
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 = 251422838482200/(1x15070)
LCM = 251422838482200/15070
LCM = 16683665460
Thus, we can understand that the LCM of 685,613,924,946,685 is 16683665460.
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FAQs on LCM of 685, 613, 924, 946, 685
1. What is the LCM of 685, 613, 924, 946, 685?
Answer: LCM of 685, 613, 924, 946, 685 is 16683665460.
2. How to calculate the LCM of 685, 613, 924, 946, 685?
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 685, 613, 924, 946, 685.
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}.