LCM of 650, 517, 702, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 517, 702, 336 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 650, 517, 702, 336. So, keep reading to learn more.
Given numbers are 650,517,702,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,517,702,336 is 508107600.
Find LCM of 650,517,702,336 with Prime Factorization
| 2 | 650, 517, 702, 336 |
| 3 | 325, 517, 351, 168 |
| 13 | 325, 517, 117, 56 |
| 25, 517, 9, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 25 x 517 x 9 x 56 = 508107600
Therefore, the lowest common multiple of 650,517,702,336 is 508107600.
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.
650 x 517 x 702 x 336 = 79264785600
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
517 : 1, 11, 47, 517
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,517,702,336, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
517:11x 47
702:2x 3x 3x 3x 13
336:2x 2x 2x 2x 3x 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 13 = 156
Therefore, the value for common factors is 156.
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 = 79264785600/(1x156)
LCM = 79264785600/156
LCM = 508107600
Thus, we can understand that the LCM of 650,517,702,336 is 508107600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 650, 517, 702, 336
1. What is the LCM of 650, 517, 702, 336?
Answer: LCM of 650, 517, 702, 336 is 508107600.
2. How to calculate the LCM of 650, 517, 702, 336?
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 650, 517, 702, 336.
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}.