LCM of 698, 280, 232, 576, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 280, 232, 576, 630 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 698, 280, 232, 576, 630. So, keep reading to learn more.
Given numbers are 698,280,232,576,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,280,232,576,630 is 204039360.
Find LCM of 698,280,232,576,630 with Prime Factorization
| 2 | 698, 280, 232, 576, 630 |
| 2 | 349, 140, 116, 288, 315 |
| 2 | 349, 70, 58, 144, 315 |
| 3 | 349, 35, 29, 72, 315 |
| 3 | 349, 35, 29, 24, 105 |
| 5 | 349, 35, 29, 8, 35 |
| 7 | 349, 7, 29, 8, 7 |
| 349, 1, 29, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 349 x 1 x 29 x 8 x 1 = 204039360
Therefore, the lowest common multiple of 698,280,232,576,630 is 204039360.
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.
698 x 280 x 232 x 576 x 630 = 16453733990400
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.
698 : 1, 2, 349, 698
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
232 : 1, 2, 4, 8, 29, 58, 116, 232
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,280,232,576,630, is 2.
Now, the common factors can be found like this.
698:2x 349
280:2x 2x 2x 5x 7
232:2x 2x 2x 29
576:2x 2x 2x 2x 2x 2x 3x 3
630:2x 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 2x 2x 2x 2x 2x 2x 3x 3x 5x 7 = 40320
Therefore, the value for common factors is 40320.
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 = 16453733990400/(2x40320)
LCM = 16453733990400/80640
LCM = 204039360
Thus, we can understand that the LCM of 698,280,232,576,630 is 204039360.
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FAQs on LCM of 698, 280, 232, 576, 630
1. What is the LCM of 698, 280, 232, 576, 630?
Answer: LCM of 698, 280, 232, 576, 630 is 204039360.
2. How to calculate the LCM of 698, 280, 232, 576, 630?
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 698, 280, 232, 576, 630.
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}.