Find the LCM of 236, 291, 995, 424, 688 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, 291, 995, 424, 688. So, keep reading to learn more.
Given numbers are 236,291,995,424,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,291,995,424,688 is 622920163920.
Find LCM of 236,291,995,424,688 with Prime Factorization
2 | 236, 291, 995, 424, 688 |
2 | 118, 291, 995, 212, 344 |
2 | 59, 291, 995, 106, 172 |
59, 291, 995, 53, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 59 x 291 x 995 x 53 x 86 = 622920163920
Therefore, the lowest common multiple of 236,291,995,424,688 is 622920163920.
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 291 x 995 x 424 x 688 = 19933445245440
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
291 : 1, 3, 97, 291
995 : 1, 5, 199, 995
424 : 1, 2, 4, 8, 53, 106, 212, 424
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,291,995,424,688, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
291:3x 97
995:5x 199
424:2x 2x 2x 53
688:2x 2x 2x 2x 43
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 2 = 32
Therefore, the value for common factors is 32.
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 = 19933445245440/(1x32)
LCM = 19933445245440/32
LCM = 622920163920
Thus, we can understand that the LCM of 236,291,995,424,688 is 622920163920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 291, 995, 424, 688?
Answer: LCM of 236, 291, 995, 424, 688 is 622920163920.
2. How to calculate the LCM of 236, 291, 995, 424, 688?
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, 291, 995, 424, 688.
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}.