LCM of 916, 544, 169, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 544, 169, 416 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, 544, 169, 416. So, keep reading to learn more.
Given numbers are 916,544,169,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,544,169,416 is 21053344.
Find LCM of 916,544,169,416 with Prime Factorization
| 2 | 916, 544, 169, 416 |
| 2 | 458, 272, 169, 208 |
| 2 | 229, 136, 169, 104 |
| 2 | 229, 68, 169, 52 |
| 2 | 229, 34, 169, 26 |
| 13 | 229, 17, 169, 13 |
| 229, 17, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 229 x 17 x 1 x 13 = 21053344
Therefore, the lowest common multiple of 916,544,169,416 is 21053344.
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 544 x 169 x 416 = 35032764416
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
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
169 : 1, 13, 169
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,544,169,416, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
544:2x 2x 2x 2x 2x 17
169:13x 13
416:2x 2x 2x 2x 2x 13
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 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 35032764416/(1x1664)
LCM = 35032764416/1664
LCM = 21053344
Thus, we can understand that the LCM of 916,544,169,416 is 21053344.
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FAQs on LCM of 916, 544, 169, 416
1. What is the LCM of 916, 544, 169, 416?
Answer: LCM of 916, 544, 169, 416 is 21053344.
2. How to calculate the LCM of 916, 544, 169, 416?
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, 544, 169, 416.
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}.