LCM of 121, 924, 779, 360, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 121, 924, 779, 360, 916 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 121, 924, 779, 360, 916. So, keep reading to learn more.
Given numbers are 121,924,779,360,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,924,779,360,916 is 54394983720.
Find LCM of 121,924,779,360,916 with Prime Factorization
| 2 | 121, 924, 779, 360, 916 |
| 2 | 121, 462, 779, 180, 458 |
| 3 | 121, 231, 779, 90, 229 |
| 11 | 121, 77, 779, 30, 229 |
| 11, 7, 779, 30, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 7 x 779 x 30 x 229 = 54394983720
Therefore, the lowest common multiple of 121,924,779,360,916 is 54394983720.
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.
121 x 924 x 779 x 360 x 916 = 28720551404160
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.
121 : 1, 11, 121
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
779 : 1, 19, 41, 779
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,924,779,360,916, is 1.
Now, the common factors can be found like this.
121:11x 11
924:2x 2x 3x 7x 11
779:19x 41
360:2x 2x 2x 3x 3x 5
916:2x 2x 229
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 28720551404160/(1x528)
LCM = 28720551404160/528
LCM = 54394983720
Thus, we can understand that the LCM of 121,924,779,360,916 is 54394983720.
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FAQs on LCM of 121, 924, 779, 360, 916
1. What is the LCM of 121, 924, 779, 360, 916?
Answer: LCM of 121, 924, 779, 360, 916 is 54394983720.
2. How to calculate the LCM of 121, 924, 779, 360, 916?
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 121, 924, 779, 360, 916.
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}.