LCM of 728, 156, 968, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 156, 968, 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 728, 156, 968, 546. So, keep reading to learn more.
Given numbers are 728,156,968,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,156,968,546 is 264264.
Find LCM of 728,156,968,546 with Prime Factorization
| 2 | 728, 156, 968, 546 |
| 2 | 364, 78, 484, 273 |
| 2 | 182, 39, 242, 273 |
| 3 | 91, 39, 121, 273 |
| 7 | 91, 13, 121, 91 |
| 13 | 13, 13, 121, 13 |
| 1, 1, 121, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 1 x 1 x 121 x 1 = 264264
Therefore, the lowest common multiple of 728,156,968,546 is 264264.
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.
728 x 156 x 968 x 546 = 60023867904
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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 728,156,968,546, is 2.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
156:2x 2x 3x 13
968:2x 2x 2x 11x 11
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 7x 13x 13 = 113568
Therefore, the value for common factors is 113568.
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 = 60023867904/(2x113568)
LCM = 60023867904/227136
LCM = 264264
Thus, we can understand that the LCM of 728,156,968,546 is 264264.
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FAQs on LCM of 728, 156, 968, 546
1. What is the LCM of 728, 156, 968, 546?
Answer: LCM of 728, 156, 968, 546 is 264264.
2. How to calculate the LCM of 728, 156, 968, 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 728, 156, 968, 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}.