LCM of 942, 346, 634, 854, 173
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 346, 634, 854, 173 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 942, 346, 634, 854, 173. So, keep reading to learn more.
Given numbers are 942,346,634,854,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,346,634,854,173 is 22058914794.
Find LCM of 942,346,634,854,173 with Prime Factorization
| 2 | 942, 346, 634, 854, 173 |
| 173 | 471, 173, 317, 427, 173 |
| 471, 1, 317, 427, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 471 x 1 x 317 x 427 x 1 = 22058914794
Therefore, the lowest common multiple of 942,346,634,854,173 is 22058914794.
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.
942 x 346 x 634 x 854 x 173 = 30529538074896
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
346 : 1, 2, 173, 346
634 : 1, 2, 317, 634
854 : 1, 2, 7, 14, 61, 122, 427, 854
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,346,634,854,173, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
346:2x 173
634:2x 317
854:2x 7x 61
173:173
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 173 = 1384
Therefore, the value for common factors is 1384.
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 = 30529538074896/(1x1384)
LCM = 30529538074896/1384
LCM = 22058914794
Thus, we can understand that the LCM of 942,346,634,854,173 is 22058914794.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 942, 346, 634, 854, 173
1. What is the LCM of 942, 346, 634, 854, 173?
Answer: LCM of 942, 346, 634, 854, 173 is 22058914794.
2. How to calculate the LCM of 942, 346, 634, 854, 173?
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 942, 346, 634, 854, 173.
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}.