LCM of 346, 899, 519, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 899, 519, 901 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 346, 899, 519, 901. So, keep reading to learn more.
Given numbers are 346,899,519,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,899,519,901 is 840778962.
Find LCM of 346,899,519,901 with Prime Factorization
| 173 | 346, 899, 519, 901 |
| 2, 899, 3, 901 |
Multiply the prime numbers at the bottom and the left side.
173 x 2 x 899 x 3 x 901 = 840778962
Therefore, the lowest common multiple of 346,899,519,901 is 840778962.
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.
346 x 899 x 519 x 901 = 145454760426
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.
346 : 1, 2, 173, 346
899 : 1, 29, 31, 899
519 : 1, 3, 173, 519
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,899,519,901, is 1.
Now, the common factors can be found like this.
346:2x 173
899:29x 31
519:3x 173
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
173 = 173
Therefore, the value for common factors is 173.
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 = 145454760426/(1x173)
LCM = 145454760426/173
LCM = 840778962
Thus, we can understand that the LCM of 346,899,519,901 is 840778962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 346, 899, 519, 901
1. What is the LCM of 346, 899, 519, 901?
Answer: LCM of 346, 899, 519, 901 is 840778962.
2. How to calculate the LCM of 346, 899, 519, 901?
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 346, 899, 519, 901.
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}.