LCM of 119, 299, 546, 820, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 299, 546, 820, 934 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 119, 299, 546, 820, 934. So, keep reading to learn more.
Given numbers are 119,299,546,820,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,299,546,820,934 is 40876164420.
Find LCM of 119,299,546,820,934 with Prime Factorization
| 2 | 119, 299, 546, 820, 934 |
| 7 | 119, 299, 273, 410, 467 |
| 13 | 17, 299, 39, 410, 467 |
| 17, 23, 3, 410, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 17 x 23 x 3 x 410 x 467 = 40876164420
Therefore, the lowest common multiple of 119,299,546,820,934 is 40876164420.
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.
119 x 299 x 546 x 820 x 934 = 14878923848880
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.
119 : 1, 7, 17, 119
299 : 1, 13, 23, 299
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,299,546,820,934, is 1.
Now, the common factors can be found like this.
119:7x 17
299:13x 23
546:2x 3x 7x 13
820:2x 2x 5x 41
934:2x 467
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 14878923848880/(1x364)
LCM = 14878923848880/364
LCM = 40876164420
Thus, we can understand that the LCM of 119,299,546,820,934 is 40876164420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 119, 299, 546, 820, 934
1. What is the LCM of 119, 299, 546, 820, 934?
Answer: LCM of 119, 299, 546, 820, 934 is 40876164420.
2. How to calculate the LCM of 119, 299, 546, 820, 934?
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 119, 299, 546, 820, 934.
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}.