LCM of 340, 998, 720, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 340, 998, 720, 624 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 340, 998, 720, 624. So, keep reading to learn more.
Given numbers are 340,998,720,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 340,998,720,624 is 79400880.
Find LCM of 340,998,720,624 with Prime Factorization
| 2 | 340, 998, 720, 624 |
| 2 | 170, 499, 360, 312 |
| 2 | 85, 499, 180, 156 |
| 2 | 85, 499, 90, 78 |
| 3 | 85, 499, 45, 39 |
| 5 | 85, 499, 15, 13 |
| 17, 499, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 17 x 499 x 3 x 13 = 79400880
Therefore, the lowest common multiple of 340,998,720,624 is 79400880.
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.
340 x 998 x 720 x 624 = 152449689600
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.
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
998 : 1, 2, 499, 998
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,998,720,624, is 2.
Now, the common factors can be found like this.
340:2x 2x 5x 17
998:2x 499
720:2x 2x 2x 2x 3x 3x 5
624:2x 2x 2x 2x 3x 13
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 2x 2x 2x 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 152449689600/(2x960)
LCM = 152449689600/1920
LCM = 79400880
Thus, we can understand that the LCM of 340,998,720,624 is 79400880.
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FAQs on LCM of 340, 998, 720, 624
1. What is the LCM of 340, 998, 720, 624?
Answer: LCM of 340, 998, 720, 624 is 79400880.
2. How to calculate the LCM of 340, 998, 720, 624?
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 340, 998, 720, 624.
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}.