LCM of 626, 816, 748, 472, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 816, 748, 472, 116 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 626, 816, 748, 472, 116. So, keep reading to learn more.
Given numbers are 626,816,748,472,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,816,748,472,116 is 4807033968.
Find LCM of 626,816,748,472,116 with Prime Factorization
| 2 | 626, 816, 748, 472, 116 |
| 2 | 313, 408, 374, 236, 58 |
| 2 | 313, 204, 187, 118, 29 |
| 17 | 313, 102, 187, 59, 29 |
| 313, 6, 11, 59, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 313 x 6 x 11 x 59 x 29 = 4807033968
Therefore, the lowest common multiple of 626,816,748,472,116 is 4807033968.
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.
626 x 816 x 748 x 472 x 116 = 20920211828736
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.
626 : 1, 2, 313, 626
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
472 : 1, 2, 4, 8, 59, 118, 236, 472
116 : 1, 2, 4, 29, 58, 116
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,816,748,472,116, is 2.
Now, the common factors can be found like this.
626:2x 313
816:2x 2x 2x 2x 3x 17
748:2x 2x 11x 17
472:2x 2x 2x 59
116:2x 2x 29
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 17 = 2176
Therefore, the value for common factors is 2176.
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 = 20920211828736/(2x2176)
LCM = 20920211828736/4352
LCM = 4807033968
Thus, we can understand that the LCM of 626,816,748,472,116 is 4807033968.
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FAQs on LCM of 626, 816, 748, 472, 116
1. What is the LCM of 626, 816, 748, 472, 116?
Answer: LCM of 626, 816, 748, 472, 116 is 4807033968.
2. How to calculate the LCM of 626, 816, 748, 472, 116?
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 626, 816, 748, 472, 116.
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}.