LCM of 507, 598, 414, 456, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 598, 414, 456, 705 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 507, 598, 414, 456, 705. So, keep reading to learn more.
Given numbers are 507,598,414,456,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,598,414,456,705 is 1249592760.
Find LCM of 507,598,414,456,705 with Prime Factorization
| 2 | 507, 598, 414, 456, 705 |
| 3 | 507, 299, 207, 228, 705 |
| 13 | 169, 299, 69, 76, 235 |
| 23 | 13, 23, 69, 76, 235 |
| 13, 1, 3, 76, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 13 x 1 x 3 x 76 x 235 = 1249592760
Therefore, the lowest common multiple of 507,598,414,456,705 is 1249592760.
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.
507 x 598 x 414 x 456 x 705 = 40351849405920
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.
507 : 1, 3, 13, 39, 169, 507
598 : 1, 2, 13, 23, 26, 46, 299, 598
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,598,414,456,705, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
598:2x 13x 23
414:2x 3x 3x 23
456:2x 2x 2x 3x 19
705:3x 5x 47
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 3x 3x 3x 13x 23 = 32292
Therefore, the value for common factors is 32292.
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 = 40351849405920/(1x32292)
LCM = 40351849405920/32292
LCM = 1249592760
Thus, we can understand that the LCM of 507,598,414,456,705 is 1249592760.
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FAQs on LCM of 507, 598, 414, 456, 705
1. What is the LCM of 507, 598, 414, 456, 705?
Answer: LCM of 507, 598, 414, 456, 705 is 1249592760.
2. How to calculate the LCM of 507, 598, 414, 456, 705?
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 507, 598, 414, 456, 705.
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}.