LCM of 616, 182, 361, 469, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 182, 361, 469, 924 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 616, 182, 361, 469, 924. So, keep reading to learn more.
Given numbers are 616,182,361,469,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,182,361,469,924 is 581068488.
Find LCM of 616,182,361,469,924 with Prime Factorization
| 2 | 616, 182, 361, 469, 924 |
| 2 | 308, 91, 361, 469, 462 |
| 7 | 154, 91, 361, 469, 231 |
| 11 | 22, 13, 361, 67, 33 |
| 2, 13, 361, 67, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 2 x 13 x 361 x 67 x 3 = 581068488
Therefore, the lowest common multiple of 616,182,361,469,924 is 581068488.
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.
616 x 182 x 361 x 469 x 924 = 17538971241792
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
182 : 1, 2, 7, 13, 14, 26, 91, 182
361 : 1, 19, 361
469 : 1, 7, 67, 469
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,182,361,469,924, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
182:2x 7x 13
361:19x 19
469:7x 67
924:2x 2x 3x 7x 11
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 7x 7x 7x 11 = 30184
Therefore, the value for common factors is 30184.
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 = 17538971241792/(1x30184)
LCM = 17538971241792/30184
LCM = 581068488
Thus, we can understand that the LCM of 616,182,361,469,924 is 581068488.
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FAQs on LCM of 616, 182, 361, 469, 924
1. What is the LCM of 616, 182, 361, 469, 924?
Answer: LCM of 616, 182, 361, 469, 924 is 581068488.
2. How to calculate the LCM of 616, 182, 361, 469, 924?
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 616, 182, 361, 469, 924.
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}.