LCM of 661, 816, 136, 748, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 816, 136, 748, 751 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 661, 816, 136, 748, 751. So, keep reading to learn more.
Given numbers are 661,816,136,748,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,816,136,748,751 is 4455785136.
Find LCM of 661,816,136,748,751 with Prime Factorization
| 2 | 661, 816, 136, 748, 751 |
| 2 | 661, 408, 68, 374, 751 |
| 2 | 661, 204, 34, 187, 751 |
| 17 | 661, 102, 17, 187, 751 |
| 661, 6, 1, 11, 751 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 661 x 6 x 1 x 11 x 751 = 4455785136
Therefore, the lowest common multiple of 661,816,136,748,751 is 4455785136.
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.
661 x 816 x 136 x 748 x 751 = 41207100937728
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.
661 : 1, 661
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
136 : 1, 2, 4, 8, 17, 34, 68, 136
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,816,136,748,751, is 1.
Now, the common factors can be found like this.
661:661
816:2x 2x 2x 2x 3x 17
136:2x 2x 2x 17
748:2x 2x 11x 17
751:751
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 17x 17 = 9248
Therefore, the value for common factors is 9248.
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 = 41207100937728/(1x9248)
LCM = 41207100937728/9248
LCM = 4455785136
Thus, we can understand that the LCM of 661,816,136,748,751 is 4455785136.
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FAQs on LCM of 661, 816, 136, 748, 751
1. What is the LCM of 661, 816, 136, 748, 751?
Answer: LCM of 661, 816, 136, 748, 751 is 4455785136.
2. How to calculate the LCM of 661, 816, 136, 748, 751?
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 661, 816, 136, 748, 751.
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}.