LCM of 272, 321, 746, 748, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 321, 746, 748, 968 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 272, 321, 746, 748, 968. So, keep reading to learn more.
Given numbers are 272,321,746,748,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,321,746,748,968 is 3940652496.
Find LCM of 272,321,746,748,968 with Prime Factorization
| 2 | 272, 321, 746, 748, 968 |
| 2 | 136, 321, 373, 374, 484 |
| 2 | 68, 321, 373, 187, 242 |
| 11 | 34, 321, 373, 187, 121 |
| 17 | 34, 321, 373, 17, 11 |
| 2, 321, 373, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 2 x 321 x 373 x 1 x 11 = 3940652496
Therefore, the lowest common multiple of 272,321,746,748,968 is 3940652496.
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.
272 x 321 x 746 x 748 x 968 = 47161729072128
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
321 : 1, 3, 107, 321
746 : 1, 2, 373, 746
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,321,746,748,968, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
321:3x 107
746:2x 373
748:2x 2x 11x 17
968:2x 2x 2x 11x 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 2x 2x 2x 11x 17 = 11968
Therefore, the value for common factors is 11968.
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 = 47161729072128/(1x11968)
LCM = 47161729072128/11968
LCM = 3940652496
Thus, we can understand that the LCM of 272,321,746,748,968 is 3940652496.
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FAQs on LCM of 272, 321, 746, 748, 968
1. What is the LCM of 272, 321, 746, 748, 968?
Answer: LCM of 272, 321, 746, 748, 968 is 3940652496.
2. How to calculate the LCM of 272, 321, 746, 748, 968?
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 272, 321, 746, 748, 968.
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}.