Find the LCM of 724, 261, 319, 493, 617 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 724, 261, 319, 493, 617. So, keep reading to learn more.
Given numbers are 724,261,319,493,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,261,319,493,617 is 21802477356.
Find LCM of 724,261,319,493,617 with Prime Factorization
29 | 724, 261, 319, 493, 617 |
724, 9, 11, 17, 617 |
Multiply the prime numbers at the bottom and the left side.
29 x 724 x 9 x 11 x 17 x 617 = 21802477356
Therefore, the lowest common multiple of 724,261,319,493,617 is 21802477356.
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.
724 x 261 x 319 x 493 x 617 = 18335883456396
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.
724 : 1, 2, 4, 181, 362, 724
261 : 1, 3, 9, 29, 87, 261
319 : 1, 11, 29, 319
493 : 1, 17, 29, 493
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,261,319,493,617, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
261:3x 3x 29
319:11x 29
493:17x 29
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 29 = 841
Therefore, the value for common factors is 841.
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 = 18335883456396/(1x841)
LCM = 18335883456396/841
LCM = 21802477356
Thus, we can understand that the LCM of 724,261,319,493,617 is 21802477356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 261, 319, 493, 617?
Answer: LCM of 724, 261, 319, 493, 617 is 21802477356.
2. How to calculate the LCM of 724, 261, 319, 493, 617?
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 724, 261, 319, 493, 617.
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}.