Find the LCM of 858, 437, 155, 722, 119 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 858, 437, 155, 722, 119. So, keep reading to learn more.
Given numbers are 858,437,155,722,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,437,155,722,119 is 131401700430.
Find LCM of 858,437,155,722,119 with Prime Factorization
2 | 858, 437, 155, 722, 119 |
19 | 429, 437, 155, 361, 119 |
429, 23, 155, 19, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 429 x 23 x 155 x 19 x 119 = 131401700430
Therefore, the lowest common multiple of 858,437,155,722,119 is 131401700430.
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.
858 x 437 x 155 x 722 x 119 = 4993264616340
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
437 : 1, 19, 23, 437
155 : 1, 5, 31, 155
722 : 1, 2, 19, 38, 361, 722
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,437,155,722,119, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
437:19x 23
155:5x 31
722:2x 19x 19
119:7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 4993264616340/(1x38)
LCM = 4993264616340/38
LCM = 131401700430
Thus, we can understand that the LCM of 858,437,155,722,119 is 131401700430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 437, 155, 722, 119?
Answer: LCM of 858, 437, 155, 722, 119 is 131401700430.
2. How to calculate the LCM of 858, 437, 155, 722, 119?
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 858, 437, 155, 722, 119.
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}.