LCM of 436, 705, 458, 686, 651
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 705, 458, 686, 651 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 436, 705, 458, 686, 651. So, keep reading to learn more.
Given numbers are 436,705,458,686,651
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,705,458,686,651 is 748457082660.
Find LCM of 436,705,458,686,651 with Prime Factorization
| 2 | 436, 705, 458, 686, 651 |
| 3 | 218, 705, 229, 343, 651 |
| 7 | 218, 235, 229, 343, 217 |
| 218, 235, 229, 49, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 218 x 235 x 229 x 49 x 31 = 748457082660
Therefore, the lowest common multiple of 436,705,458,686,651 is 748457082660.
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.
436 x 705 x 458 x 686 x 651 = 62870394943440
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.
436 : 1, 2, 4, 109, 218, 436
705 : 1, 3, 5, 15, 47, 141, 235, 705
458 : 1, 2, 229, 458
686 : 1, 2, 7, 14, 49, 98, 343, 686
651 : 1, 3, 7, 21, 31, 93, 217, 651
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,705,458,686,651, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
705:3x 5x 47
458:2x 229
686:2x 7x 7x 7
651:3x 7x 31
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 7 = 84
Therefore, the value for common factors is 84.
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 = 62870394943440/(1x84)
LCM = 62870394943440/84
LCM = 748457082660
Thus, we can understand that the LCM of 436,705,458,686,651 is 748457082660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 436, 705, 458, 686, 651
1. What is the LCM of 436, 705, 458, 686, 651?
Answer: LCM of 436, 705, 458, 686, 651 is 748457082660.
2. How to calculate the LCM of 436, 705, 458, 686, 651?
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 436, 705, 458, 686, 651.
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}.