LCM of 350, 342, 497, 779, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 350, 342, 497, 779, 817 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 350, 342, 497, 779, 817. So, keep reading to learn more.
Given numbers are 350,342,497,779,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,342,497,779,817 is 7491604050.
Find LCM of 350,342,497,779,817 with Prime Factorization
| 2 | 350, 342, 497, 779, 817 |
| 7 | 175, 171, 497, 779, 817 |
| 19 | 25, 171, 71, 779, 817 |
| 25, 9, 71, 41, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 25 x 9 x 71 x 41 x 43 = 7491604050
Therefore, the lowest common multiple of 350,342,497,779,817 is 7491604050.
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.
350 x 342 x 497 x 779 x 817 = 37862566868700
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
497 : 1, 7, 71, 497
779 : 1, 19, 41, 779
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,342,497,779,817, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
342:2x 3x 3x 19
497:7x 71
779:19x 41
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19x 19 = 5054
Therefore, the value for common factors is 5054.
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 = 37862566868700/(1x5054)
LCM = 37862566868700/5054
LCM = 7491604050
Thus, we can understand that the LCM of 350,342,497,779,817 is 7491604050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 350, 342, 497, 779, 817
1. What is the LCM of 350, 342, 497, 779, 817?
Answer: LCM of 350, 342, 497, 779, 817 is 7491604050.
2. How to calculate the LCM of 350, 342, 497, 779, 817?
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 350, 342, 497, 779, 817.
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}.