LCM of 724, 341, 475, 391, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 341, 475, 391, 690 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 724, 341, 475, 391, 690. So, keep reading to learn more.
Given numbers are 724,341,475,391,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,341,475,391,690 is 137557592700.
Find LCM of 724,341,475,391,690 with Prime Factorization
| 2 | 724, 341, 475, 391, 690 |
| 5 | 362, 341, 475, 391, 345 |
| 23 | 362, 341, 95, 391, 69 |
| 362, 341, 95, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 362 x 341 x 95 x 17 x 3 = 137557592700
Therefore, the lowest common multiple of 724,341,475,391,690 is 137557592700.
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.
724 x 341 x 475 x 391 x 690 = 31638246321000
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.
724 : 1, 2, 4, 181, 362, 724
341 : 1, 11, 31, 341
475 : 1, 5, 19, 25, 95, 475
391 : 1, 17, 23, 391
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,341,475,391,690, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
341:11x 31
475:5x 5x 19
391:17x 23
690:2x 3x 5x 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 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 31638246321000/(1x230)
LCM = 31638246321000/230
LCM = 137557592700
Thus, we can understand that the LCM of 724,341,475,391,690 is 137557592700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 341, 475, 391, 690
1. What is the LCM of 724, 341, 475, 391, 690?
Answer: LCM of 724, 341, 475, 391, 690 is 137557592700.
2. How to calculate the LCM of 724, 341, 475, 391, 690?
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 724, 341, 475, 391, 690.
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}.