LCM of 343, 377, 546, 598, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 377, 546, 598, 210 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 343, 377, 546, 598, 210. So, keep reading to learn more.
Given numbers are 343,377,546,598,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,377,546,598,210 is 89224590.
Find LCM of 343,377,546,598,210 with Prime Factorization
| 2 | 343, 377, 546, 598, 210 |
| 3 | 343, 377, 273, 299, 105 |
| 7 | 343, 377, 91, 299, 35 |
| 13 | 49, 377, 13, 299, 5 |
| 49, 29, 1, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 49 x 29 x 1 x 23 x 5 = 89224590
Therefore, the lowest common multiple of 343,377,546,598,210 is 89224590.
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.
343 x 377 x 546 x 598 x 210 = 8866425957480
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.
343 : 1, 7, 49, 343
377 : 1, 13, 29, 377
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
598 : 1, 2, 13, 23, 26, 46, 299, 598
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,377,546,598,210, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
377:13x 29
546:2x 3x 7x 13
598:2x 13x 23
210:2x 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 3x 7x 7x 13x 13 = 99372
Therefore, the value for common factors is 99372.
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 = 8866425957480/(1x99372)
LCM = 8866425957480/99372
LCM = 89224590
Thus, we can understand that the LCM of 343,377,546,598,210 is 89224590.
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FAQs on LCM of 343, 377, 546, 598, 210
1. What is the LCM of 343, 377, 546, 598, 210?
Answer: LCM of 343, 377, 546, 598, 210 is 89224590.
2. How to calculate the LCM of 343, 377, 546, 598, 210?
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 343, 377, 546, 598, 210.
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}.