LCM of 546, 377, 294, 699, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 377, 294, 699, 917 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 546, 377, 294, 699, 917. So, keep reading to learn more.
Given numbers are 546,377,294,699,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,377,294,699,917 is 3383108274.
Find LCM of 546,377,294,699,917 with Prime Factorization
| 2 | 546, 377, 294, 699, 917 |
| 3 | 273, 377, 147, 699, 917 |
| 7 | 91, 377, 49, 233, 917 |
| 13 | 13, 377, 7, 233, 131 |
| 1, 29, 7, 233, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 29 x 7 x 233 x 131 = 3383108274
Therefore, the lowest common multiple of 546,377,294,699,917 is 3383108274.
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.
546 x 377 x 294 x 699 x 917 = 38790719469684
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
377 : 1, 13, 29, 377
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
699 : 1, 3, 233, 699
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,377,294,699,917, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
377:13x 29
294:2x 3x 7x 7
699:3x 233
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7x 13 = 11466
Therefore, the value for common factors is 11466.
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 = 38790719469684/(1x11466)
LCM = 38790719469684/11466
LCM = 3383108274
Thus, we can understand that the LCM of 546,377,294,699,917 is 3383108274.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 546, 377, 294, 699, 917
1. What is the LCM of 546, 377, 294, 699, 917?
Answer: LCM of 546, 377, 294, 699, 917 is 3383108274.
2. How to calculate the LCM of 546, 377, 294, 699, 917?
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 546, 377, 294, 699, 917.
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}.