LCM of 157, 690, 351, 420, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 690, 351, 420, 915 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, 690, 351, 420, 915. So, keep reading to learn more.
Given numbers are 157,690,351,420,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,690,351,420,915 is 10824116940.
Find LCM of 157,690,351,420,915 with Prime Factorization
| 2 | 157, 690, 351, 420, 915 |
| 3 | 157, 345, 351, 210, 915 |
| 5 | 157, 115, 117, 70, 305 |
| 157, 23, 117, 14, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 157 x 23 x 117 x 14 x 61 = 10824116940
Therefore, the lowest common multiple of 157,690,351,420,915 is 10824116940.
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 690 x 351 x 420 x 915 = 14612557869000
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
351 : 1, 3, 9, 13, 27, 39, 117, 351
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,690,351,420,915, is 1.
Now, the common factors can be found like this.
157:157
690:2x 3x 5x 23
351:3x 3x 3x 13
420:2x 2x 3x 5x 7
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 14612557869000/(1x1350)
LCM = 14612557869000/1350
LCM = 10824116940
Thus, we can understand that the LCM of 157,690,351,420,915 is 10824116940.
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FAQs on LCM of 157, 690, 351, 420, 915
1. What is the LCM of 157, 690, 351, 420, 915?
Answer: LCM of 157, 690, 351, 420, 915 is 10824116940.
2. How to calculate the LCM of 157, 690, 351, 420, 915?
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, 690, 351, 420, 915.
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}.