LCM of 724, 962, 312, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 962, 312, 494 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, 962, 312, 494. So, keep reading to learn more.
Given numbers are 724,962,312,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,962,312,494 is 39699816.
Find LCM of 724,962,312,494 with Prime Factorization
| 2 | 724, 962, 312, 494 |
| 2 | 362, 481, 156, 247 |
| 13 | 181, 481, 78, 247 |
| 181, 37, 6, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 181 x 37 x 6 x 19 = 39699816
Therefore, the lowest common multiple of 724,962,312,494 is 39699816.
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 962 x 312 x 494 = 107348302464
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
494 : 1, 2, 13, 19, 26, 38, 247, 494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,962,312,494, is 2.
Now, the common factors can be found like this.
724:2x 2x 181
962:2x 13x 37
312:2x 2x 2x 3x 13
494:2x 13x 19
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 107348302464/(2x1352)
LCM = 107348302464/2704
LCM = 39699816
Thus, we can understand that the LCM of 724,962,312,494 is 39699816.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 724, 962, 312, 494
1. What is the LCM of 724, 962, 312, 494?
Answer: LCM of 724, 962, 312, 494 is 39699816.
2. How to calculate the LCM of 724, 962, 312, 494?
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, 962, 312, 494.
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}.