LCM of 158, 716, 418, 627, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 158, 716, 418, 627, 969 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 158, 716, 418, 627, 969. So, keep reading to learn more.
Given numbers are 158,716,418,627,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,716,418,627,969 is 602915676.
Find LCM of 158,716,418,627,969 with Prime Factorization
| 2 | 158, 716, 418, 627, 969 |
| 3 | 79, 358, 209, 627, 969 |
| 11 | 79, 358, 209, 209, 323 |
| 19 | 79, 358, 19, 19, 323 |
| 79, 358, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 79 x 358 x 1 x 1 x 17 = 602915676
Therefore, the lowest common multiple of 158,716,418,627,969 is 602915676.
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.
158 x 716 x 418 x 627 x 969 = 28730137792752
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.
158 : 1, 2, 79, 158
716 : 1, 2, 4, 179, 358, 716
418 : 1, 2, 11, 19, 22, 38, 209, 418
627 : 1, 3, 11, 19, 33, 57, 209, 627
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,716,418,627,969, is 1.
Now, the common factors can be found like this.
158:2x 79
716:2x 2x 179
418:2x 11x 19
627:3x 11x 19
969:3x 17x 19
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 3x 11x 19x 19 = 47652
Therefore, the value for common factors is 47652.
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 = 28730137792752/(1x47652)
LCM = 28730137792752/47652
LCM = 602915676
Thus, we can understand that the LCM of 158,716,418,627,969 is 602915676.
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FAQs on LCM of 158, 716, 418, 627, 969
1. What is the LCM of 158, 716, 418, 627, 969?
Answer: LCM of 158, 716, 418, 627, 969 is 602915676.
2. How to calculate the LCM of 158, 716, 418, 627, 969?
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 158, 716, 418, 627, 969.
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}.