LCM of 694, 836, 704, 616, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 836, 704, 616, 613 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 694, 836, 704, 616, 613. So, keep reading to learn more.
Given numbers are 694,836,704,616,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,836,704,616,613 is 19916556352.
Find LCM of 694,836,704,616,613 with Prime Factorization
| 2 | 694, 836, 704, 616, 613 |
| 2 | 347, 418, 352, 308, 613 |
| 2 | 347, 209, 176, 154, 613 |
| 11 | 347, 209, 88, 77, 613 |
| 347, 19, 8, 7, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 347 x 19 x 8 x 7 x 613 = 19916556352
Therefore, the lowest common multiple of 694,836,704,616,613 is 19916556352.
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.
694 x 836 x 704 x 616 x 613 = 154233812389888
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.
694 : 1, 2, 347, 694
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,836,704,616,613, is 1.
Now, the common factors can be found like this.
694:2x 347
836:2x 2x 11x 19
704:2x 2x 2x 2x 2x 2x 11
616:2x 2x 2x 7x 11
613:613
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 2x 2x 11x 11 = 7744
Therefore, the value for common factors is 7744.
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 = 154233812389888/(1x7744)
LCM = 154233812389888/7744
LCM = 19916556352
Thus, we can understand that the LCM of 694,836,704,616,613 is 19916556352.
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FAQs on LCM of 694, 836, 704, 616, 613
1. What is the LCM of 694, 836, 704, 616, 613?
Answer: LCM of 694, 836, 704, 616, 613 is 19916556352.
2. How to calculate the LCM of 694, 836, 704, 616, 613?
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 694, 836, 704, 616, 613.
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}.