LCM of 698, 342, 135, 456, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 342, 135, 456, 510 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, 342, 135, 456, 510. So, keep reading to learn more.
Given numbers are 698,342,135,456,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,342,135,456,510 is 121745160.
Find LCM of 698,342,135,456,510 with Prime Factorization
| 2 | 698, 342, 135, 456, 510 |
| 3 | 349, 171, 135, 228, 255 |
| 3 | 349, 57, 45, 76, 85 |
| 5 | 349, 19, 15, 76, 85 |
| 19 | 349, 19, 3, 76, 17 |
| 349, 1, 3, 4, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 349 x 1 x 3 x 4 x 17 = 121745160
Therefore, the lowest common multiple of 698,342,135,456,510 is 121745160.
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 342 x 135 x 456 x 510 = 7494632049600
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
135 : 1, 3, 5, 9, 15, 27, 45, 135
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,342,135,456,510, is 1.
Now, the common factors can be found like this.
698:2x 349
342:2x 3x 3x 19
135:3x 3x 3x 5
456:2x 2x 2x 3x 19
510:2x 3x 5x 17
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 3x 3x 3x 3x 5x 19 = 61560
Therefore, the value for common factors is 61560.
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 = 7494632049600/(1x61560)
LCM = 7494632049600/61560
LCM = 121745160
Thus, we can understand that the LCM of 698,342,135,456,510 is 121745160.
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FAQs on LCM of 698, 342, 135, 456, 510
1. What is the LCM of 698, 342, 135, 456, 510?
Answer: LCM of 698, 342, 135, 456, 510 is 121745160.
2. How to calculate the LCM of 698, 342, 135, 456, 510?
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, 342, 135, 456, 510.
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}.