LCM of 236, 705, 590, 730, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 705, 590, 730, 708 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, 705, 590, 730, 708. So, keep reading to learn more.
Given numbers are 236,705,590,730,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,705,590,730,708 is 12145740.
Find LCM of 236,705,590,730,708 with Prime Factorization
| 2 | 236, 705, 590, 730, 708 |
| 2 | 118, 705, 295, 365, 354 |
| 3 | 59, 705, 295, 365, 177 |
| 5 | 59, 235, 295, 365, 59 |
| 59 | 59, 47, 59, 73, 59 |
| 1, 47, 1, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 1 x 47 x 1 x 73 x 1 = 12145740
Therefore, the lowest common multiple of 236,705,590,730,708 is 12145740.
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 705 x 590 x 730 x 708 = 50735185128000
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
705 : 1, 3, 5, 15, 47, 141, 235, 705
590 : 1, 2, 5, 10, 59, 118, 295, 590
730 : 1, 2, 5, 10, 73, 146, 365, 730
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,705,590,730,708, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
705:3x 5x 47
590:2x 5x 59
730:2x 5x 73
708:2x 2x 3x 59
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 3x 5x 5x 59x 59 = 4177200
Therefore, the value for common factors is 4177200.
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 = 50735185128000/(1x4177200)
LCM = 50735185128000/4177200
LCM = 12145740
Thus, we can understand that the LCM of 236,705,590,730,708 is 12145740.
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FAQs on LCM of 236, 705, 590, 730, 708
1. What is the LCM of 236, 705, 590, 730, 708?
Answer: LCM of 236, 705, 590, 730, 708 is 12145740.
2. How to calculate the LCM of 236, 705, 590, 730, 708?
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, 705, 590, 730, 708.
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}.