Find the LCM of 598, 626, 680, 439, 878 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 598, 626, 680, 439, 878. So, keep reading to learn more.
Given numbers are 598,626,680,439,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,626,680,439,878 is 27937591240.
Find LCM of 598,626,680,439,878 with Prime Factorization
2 | 598, 626, 680, 439, 878 |
439 | 299, 313, 340, 439, 439 |
299, 313, 340, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 299 x 313 x 340 x 1 x 1 = 27937591240
Therefore, the lowest common multiple of 598,626,680,439,878 is 27937591240.
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.
598 x 626 x 680 x 439 x 878 = 98116820434880
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
626 : 1, 2, 313, 626
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
439 : 1, 439
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,626,680,439,878, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
626:2x 313
680:2x 2x 2x 5x 17
439:439
878:2x 439
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 439 = 3512
Therefore, the value for common factors is 3512.
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 = 98116820434880/(1x3512)
LCM = 98116820434880/3512
LCM = 27937591240
Thus, we can understand that the LCM of 598,626,680,439,878 is 27937591240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 626, 680, 439, 878?
Answer: LCM of 598, 626, 680, 439, 878 is 27937591240.
2. How to calculate the LCM of 598, 626, 680, 439, 878?
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 598, 626, 680, 439, 878.
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}.