Find the LCM of 275, 913, 217, 862, 840 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 275, 913, 217, 862, 840. So, keep reading to learn more.
Given numbers are 275,913,217,862,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,913,217,862,840 is 51234090600.
Find LCM of 275,913,217,862,840 with Prime Factorization
2 | 275, 913, 217, 862, 840 |
5 | 275, 913, 217, 431, 420 |
7 | 55, 913, 217, 431, 84 |
11 | 55, 913, 31, 431, 12 |
5, 83, 31, 431, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 5 x 83 x 31 x 431 x 12 = 51234090600
Therefore, the lowest common multiple of 275,913,217,862,840 is 51234090600.
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.
275 x 913 x 217 x 862 x 840 = 39450249762000
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.
275 : 1, 5, 11, 25, 55, 275
913 : 1, 11, 83, 913
217 : 1, 7, 31, 217
862 : 1, 2, 431, 862
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,913,217,862,840, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
913:11x 83
217:7x 31
862:2x 431
840:2x 2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11 = 770
Therefore, the value for common factors is 770.
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 = 39450249762000/(1x770)
LCM = 39450249762000/770
LCM = 51234090600
Thus, we can understand that the LCM of 275,913,217,862,840 is 51234090600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 275, 913, 217, 862, 840?
Answer: LCM of 275, 913, 217, 862, 840 is 51234090600.
2. How to calculate the LCM of 275, 913, 217, 862, 840?
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 275, 913, 217, 862, 840.
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}.