LCM of 705, 348, 977, 203, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 348, 977, 203, 598 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 705, 348, 977, 203, 598. So, keep reading to learn more.
Given numbers are 705,348,977,203,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,348,977,203,598 is 167228732580.
Find LCM of 705,348,977,203,598 with Prime Factorization
| 2 | 705, 348, 977, 203, 598 |
| 3 | 705, 174, 977, 203, 299 |
| 29 | 235, 58, 977, 203, 299 |
| 235, 2, 977, 7, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 235 x 2 x 977 x 7 x 299 = 167228732580
Therefore, the lowest common multiple of 705,348,977,203,598 is 167228732580.
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.
705 x 348 x 977 x 203 x 598 = 29097799468920
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
977 : 1, 977
203 : 1, 7, 29, 203
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,348,977,203,598, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
348:2x 2x 3x 29
977:977
203:7x 29
598:2x 13x 23
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 29 = 174
Therefore, the value for common factors is 174.
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 = 29097799468920/(1x174)
LCM = 29097799468920/174
LCM = 167228732580
Thus, we can understand that the LCM of 705,348,977,203,598 is 167228732580.
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FAQs on LCM of 705, 348, 977, 203, 598
1. What is the LCM of 705, 348, 977, 203, 598?
Answer: LCM of 705, 348, 977, 203, 598 is 167228732580.
2. How to calculate the LCM of 705, 348, 977, 203, 598?
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 705, 348, 977, 203, 598.
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}.