LCM of 759, 198, 959, 350, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 198, 959, 350, 315 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 759, 198, 959, 350, 315. So, keep reading to learn more.
Given numbers are 759,198,959,350,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,198,959,350,315 is 109182150.
Find LCM of 759,198,959,350,315 with Prime Factorization
| 2 | 759, 198, 959, 350, 315 |
| 3 | 759, 99, 959, 175, 315 |
| 3 | 253, 33, 959, 175, 105 |
| 5 | 253, 11, 959, 175, 35 |
| 7 | 253, 11, 959, 7, 35 |
| 11 | 253, 11, 137, 1, 5 |
| 23, 1, 137, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 23 x 1 x 137 x 1 x 5 = 109182150
Therefore, the lowest common multiple of 759,198,959,350,315 is 109182150.
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.
759 x 198 x 959 x 350 x 315 = 15889278289500
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
959 : 1, 7, 137, 959
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,198,959,350,315, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
198:2x 3x 3x 11
959:7x 137
350:2x 5x 5x 7
315:3x 3x 5x 7
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 7x 7x 11 = 145530
Therefore, the value for common factors is 145530.
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 = 15889278289500/(1x145530)
LCM = 15889278289500/145530
LCM = 109182150
Thus, we can understand that the LCM of 759,198,959,350,315 is 109182150.
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FAQs on LCM of 759, 198, 959, 350, 315
1. What is the LCM of 759, 198, 959, 350, 315?
Answer: LCM of 759, 198, 959, 350, 315 is 109182150.
2. How to calculate the LCM of 759, 198, 959, 350, 315?
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 759, 198, 959, 350, 315.
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}.