LCM of 103, 342, 336, 616, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 342, 336, 616, 759 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 103, 342, 336, 616, 759. So, keep reading to learn more.
Given numbers are 103,342,336,616,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,342,336,616,759 is 499081968.
Find LCM of 103,342,336,616,759 with Prime Factorization
| 2 | 103, 342, 336, 616, 759 |
| 2 | 103, 171, 168, 308, 759 |
| 2 | 103, 171, 84, 154, 759 |
| 3 | 103, 171, 42, 77, 759 |
| 7 | 103, 57, 14, 77, 253 |
| 11 | 103, 57, 2, 11, 253 |
| 103, 57, 2, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 103 x 57 x 2 x 1 x 23 = 499081968
Therefore, the lowest common multiple of 103,342,336,616,759 is 499081968.
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.
103 x 342 x 336 x 616 x 759 = 5533820861184
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.
103 : 1, 103
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,342,336,616,759, is 1.
Now, the common factors can be found like this.
103:103
342:2x 3x 3x 19
336:2x 2x 2x 2x 3x 7
616:2x 2x 2x 7x 11
759:3x 11x 23
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 2x 3x 3x 7x 11 = 11088
Therefore, the value for common factors is 11088.
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 = 5533820861184/(1x11088)
LCM = 5533820861184/11088
LCM = 499081968
Thus, we can understand that the LCM of 103,342,336,616,759 is 499081968.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 103, 342, 336, 616, 759
1. What is the LCM of 103, 342, 336, 616, 759?
Answer: LCM of 103, 342, 336, 616, 759 is 499081968.
2. How to calculate the LCM of 103, 342, 336, 616, 759?
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 103, 342, 336, 616, 759.
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}.