LCM of 236, 430, 916, 817, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 430, 916, 817, 295 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, 430, 916, 817, 295. So, keep reading to learn more.
Given numbers are 236,430,916,817,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,430,916,817,295 is 220769740.
Find LCM of 236,430,916,817,295 with Prime Factorization
| 2 | 236, 430, 916, 817, 295 |
| 2 | 118, 215, 458, 817, 295 |
| 5 | 59, 215, 229, 817, 295 |
| 43 | 59, 43, 229, 817, 59 |
| 59 | 59, 1, 229, 19, 59 |
| 1, 1, 229, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 59 x 1 x 1 x 229 x 19 x 1 = 220769740
Therefore, the lowest common multiple of 236,430,916,817,295 is 220769740.
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 430 x 916 x 817 x 295 = 22403713215200
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
430 : 1, 2, 5, 10, 43, 86, 215, 430
916 : 1, 2, 4, 229, 458, 916
817 : 1, 19, 43, 817
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,430,916,817,295, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
430:2x 5x 43
916:2x 2x 229
817:19x 43
295:5x 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 5x 43x 59 = 101480
Therefore, the value for common factors is 101480.
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 = 22403713215200/(1x101480)
LCM = 22403713215200/101480
LCM = 220769740
Thus, we can understand that the LCM of 236,430,916,817,295 is 220769740.
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FAQs on LCM of 236, 430, 916, 817, 295
1. What is the LCM of 236, 430, 916, 817, 295?
Answer: LCM of 236, 430, 916, 817, 295 is 220769740.
2. How to calculate the LCM of 236, 430, 916, 817, 295?
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, 430, 916, 817, 295.
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}.