LCM of 514, 756, 587, 968, 151
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 756, 587, 968, 151 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 514, 756, 587, 968, 151. So, keep reading to learn more.
Given numbers are 514,756,587,968,151
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,756,587,968,151 is 4167593320968.
Find LCM of 514,756,587,968,151 with Prime Factorization
| 2 | 514, 756, 587, 968, 151 |
| 2 | 257, 378, 587, 484, 151 |
| 257, 189, 587, 242, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 257 x 189 x 587 x 242 x 151 = 4167593320968
Therefore, the lowest common multiple of 514,756,587,968,151 is 4167593320968.
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.
514 x 756 x 587 x 968 x 151 = 33340746567744
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.
514 : 1, 2, 257, 514
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
587 : 1, 587
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
151 : 1, 151
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,756,587,968,151, is 1.
Now, the common factors can be found like this.
514:2x 257
756:2x 2x 3x 3x 3x 7
587:587
968:2x 2x 2x 11x 11
151:151
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 2 = 8
Therefore, the value for common factors is 8.
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 = 33340746567744/(1x8)
LCM = 33340746567744/8
LCM = 4167593320968
Thus, we can understand that the LCM of 514,756,587,968,151 is 4167593320968.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 756, 587, 968, 151
1. What is the LCM of 514, 756, 587, 968, 151?
Answer: LCM of 514, 756, 587, 968, 151 is 4167593320968.
2. How to calculate the LCM of 514, 756, 587, 968, 151?
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 514, 756, 587, 968, 151.
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}.