Find the LCM of 759, 272, 121, 995 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 759, 272, 121, 995. So, keep reading to learn more.
Given numbers are 759,272,121,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,272,121,995 is 2259573360.
Find LCM of 759,272,121,995 with Prime Factorization
11 | 759, 272, 121, 995 |
69, 272, 11, 995 |
Multiply the prime numbers at the bottom and the left side.
11 x 69 x 272 x 11 x 995 = 2259573360
Therefore, the lowest common multiple of 759,272,121,995 is 2259573360.
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.
759 x 272 x 121 x 995 = 24855306960
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
121 : 1, 11, 121
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,272,121,995, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
272:2x 2x 2x 2x 17
121:11x 11
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 24855306960/(1x11)
LCM = 24855306960/11
LCM = 2259573360
Thus, we can understand that the LCM of 759,272,121,995 is 2259573360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 759, 272, 121, 995?
Answer: LCM of 759, 272, 121, 995 is 2259573360.
2. How to calculate the LCM of 759, 272, 121, 995?
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 759, 272, 121, 995.
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}.