LCM of 236, 745, 516, 598, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 745, 516, 598, 650 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 236, 745, 516, 598, 650. So, keep reading to learn more.
Given numbers are 236,745,516,598,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,745,516,598,650 is 33907766100.
Find LCM of 236,745,516,598,650 with Prime Factorization
| 2 | 236, 745, 516, 598, 650 |
| 2 | 118, 745, 258, 299, 325 |
| 5 | 59, 745, 129, 299, 325 |
| 13 | 59, 149, 129, 299, 65 |
| 59, 149, 129, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 59 x 149 x 129 x 23 x 5 = 33907766100
Therefore, the lowest common multiple of 236,745,516,598,650 is 33907766100.
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.
236 x 745 x 516 x 598 x 650 = 35264076744000
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.
236 : 1, 2, 4, 59, 118, 236
745 : 1, 5, 149, 745
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
598 : 1, 2, 13, 23, 26, 46, 299, 598
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,745,516,598,650, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
745:5x 149
516:2x 2x 3x 43
598:2x 13x 23
650:2x 5x 5x 13
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 2x 2x 5x 13 = 1040
Therefore, the value for common factors is 1040.
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 = 35264076744000/(1x1040)
LCM = 35264076744000/1040
LCM = 33907766100
Thus, we can understand that the LCM of 236,745,516,598,650 is 33907766100.
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FAQs on LCM of 236, 745, 516, 598, 650
1. What is the LCM of 236, 745, 516, 598, 650?
Answer: LCM of 236, 745, 516, 598, 650 is 33907766100.
2. How to calculate the LCM of 236, 745, 516, 598, 650?
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 236, 745, 516, 598, 650.
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}.