Find the LCM of 743, 689, 533, 345 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 743, 689, 533, 345. So, keep reading to learn more.
Given numbers are 743,689,533,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,689,533,345 is 7241207415.
Find LCM of 743,689,533,345 with Prime Factorization
13 | 743, 689, 533, 345 |
743, 53, 41, 345 |
Multiply the prime numbers at the bottom and the left side.
13 x 743 x 53 x 41 x 345 = 7241207415
Therefore, the lowest common multiple of 743,689,533,345 is 7241207415.
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.
743 x 689 x 533 x 345 = 94135696395
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.
743 : 1, 743
689 : 1, 13, 53, 689
533 : 1, 13, 41, 533
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,689,533,345, is 1.
Now, the common factors can be found like this.
743:743
689:13x 53
533:13x 41
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 94135696395/(1x13)
LCM = 94135696395/13
LCM = 7241207415
Thus, we can understand that the LCM of 743,689,533,345 is 7241207415.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 743, 689, 533, 345?
Answer: LCM of 743, 689, 533, 345 is 7241207415.
2. How to calculate the LCM of 743, 689, 533, 345?
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 743, 689, 533, 345.
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}.