Find the LCM of 955, 884, 714, 187, 740 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 955, 884, 714, 187, 740. So, keep reading to learn more.
Given numbers are 955,884,714,187,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,884,714,187,740 is 7215548340.
Find LCM of 955,884,714,187,740 with Prime Factorization
2 | 955, 884, 714, 187, 740 |
2 | 955, 442, 357, 187, 370 |
5 | 955, 221, 357, 187, 185 |
17 | 191, 221, 357, 187, 37 |
191, 13, 21, 11, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 191 x 13 x 21 x 11 x 37 = 7215548340
Therefore, the lowest common multiple of 955,884,714,187,740 is 7215548340.
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.
955 x 884 x 714 x 187 x 740 = 83411738810400
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.
955 : 1, 5, 191, 955
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
187 : 1, 11, 17, 187
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,884,714,187,740, is 1.
Now, the common factors can be found like this.
955:5x 191
884:2x 2x 13x 17
714:2x 3x 7x 17
187:11x 17
740:2x 2x 5x 37
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 17x 17 = 11560
Therefore, the value for common factors is 11560.
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 = 83411738810400/(1x11560)
LCM = 83411738810400/11560
LCM = 7215548340
Thus, we can understand that the LCM of 955,884,714,187,740 is 7215548340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 955, 884, 714, 187, 740?
Answer: LCM of 955, 884, 714, 187, 740 is 7215548340.
2. How to calculate the LCM of 955, 884, 714, 187, 740?
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 955, 884, 714, 187, 740.
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}.