LCM of 916, 306, 968, 468, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 306, 968, 468, 546 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, 306, 968, 468, 546. So, keep reading to learn more.
Given numbers are 916,306,968,468,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,306,968,468,546 is 3086339256.
Find LCM of 916,306,968,468,546 with Prime Factorization
| 2 | 916, 306, 968, 468, 546 |
| 2 | 458, 153, 484, 234, 273 |
| 3 | 229, 153, 242, 117, 273 |
| 3 | 229, 51, 242, 39, 91 |
| 13 | 229, 17, 242, 13, 91 |
| 229, 17, 242, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 229 x 17 x 242 x 1 x 7 = 3086339256
Therefore, the lowest common multiple of 916,306,968,468,546 is 3086339256.
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 306 x 968 x 468 x 546 = 69331525046784
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,306,968,468,546, is 2.
Now, the common factors can be found like this.
916:2x 2x 229
306:2x 3x 3x 17
968:2x 2x 2x 11x 11
468:2x 2x 3x 3x 13
546:2x 3x 7x 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 3x 3x 3x 13 = 11232
Therefore, the value for common factors is 11232.
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 = 69331525046784/(2x11232)
LCM = 69331525046784/22464
LCM = 3086339256
Thus, we can understand that the LCM of 916,306,968,468,546 is 3086339256.
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FAQs on LCM of 916, 306, 968, 468, 546
1. What is the LCM of 916, 306, 968, 468, 546?
Answer: LCM of 916, 306, 968, 468, 546 is 3086339256.
2. How to calculate the LCM of 916, 306, 968, 468, 546?
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, 306, 968, 468, 546.
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}.