LCM of 157, 969, 418, 942, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 969, 418, 942, 426 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 157, 969, 418, 942, 426. So, keep reading to learn more.
Given numbers are 157,969,418,942,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,969,418,942,426 is 237631746.
Find LCM of 157,969,418,942,426 with Prime Factorization
| 2 | 157, 969, 418, 942, 426 |
| 3 | 157, 969, 209, 471, 213 |
| 19 | 157, 323, 209, 157, 71 |
| 157 | 157, 17, 11, 157, 71 |
| 1, 17, 11, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 157 x 1 x 17 x 11 x 1 x 71 = 237631746
Therefore, the lowest common multiple of 157,969,418,942,426 is 237631746.
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.
157 x 969 x 418 x 942 x 426 = 25518797939448
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.
157 : 1, 157
969 : 1, 3, 17, 19, 51, 57, 323, 969
418 : 1, 2, 11, 19, 22, 38, 209, 418
942 : 1, 2, 3, 6, 157, 314, 471, 942
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,969,418,942,426, is 1.
Now, the common factors can be found like this.
157:157
969:3x 17x 19
418:2x 11x 19
942:2x 3x 157
426:2x 3x 71
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 3x 19x 157 = 107388
Therefore, the value for common factors is 107388.
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 = 25518797939448/(1x107388)
LCM = 25518797939448/107388
LCM = 237631746
Thus, we can understand that the LCM of 157,969,418,942,426 is 237631746.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 157, 969, 418, 942, 426
1. What is the LCM of 157, 969, 418, 942, 426?
Answer: LCM of 157, 969, 418, 942, 426 is 237631746.
2. How to calculate the LCM of 157, 969, 418, 942, 426?
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 157, 969, 418, 942, 426.
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}.