Find the LCM of 694, 260, 689, 335, 377 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, 260, 689, 335, 377. So, keep reading to learn more.
Given numbers are 694,260,689,335,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,260,689,335,377 is 9290765380.
Find LCM of 694,260,689,335,377 with Prime Factorization
2 | 694, 260, 689, 335, 377 |
5 | 347, 130, 689, 335, 377 |
13 | 347, 26, 689, 67, 377 |
347, 2, 53, 67, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 347 x 2 x 53 x 67 x 29 = 9290765380
Therefore, the lowest common multiple of 694,260,689,335,377 is 9290765380.
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 260 x 689 x 335 x 377 = 15701393492200
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
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
689 : 1, 13, 53, 689
335 : 1, 5, 67, 335
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,260,689,335,377, is 1.
Now, the common factors can be found like this.
694:2x 347
260:2x 2x 5x 13
689:13x 53
335:5x 67
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 15701393492200/(1x1690)
LCM = 15701393492200/1690
LCM = 9290765380
Thus, we can understand that the LCM of 694,260,689,335,377 is 9290765380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 694, 260, 689, 335, 377?
Answer: LCM of 694, 260, 689, 335, 377 is 9290765380.
2. How to calculate the LCM of 694, 260, 689, 335, 377?
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, 260, 689, 335, 377.
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}.