Find the LCM of 743, 759, 314, 741 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, 759, 314, 741. So, keep reading to learn more.
Given numbers are 743,759,314,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,759,314,741 is 43737825846.
Find LCM of 743,759,314,741 with Prime Factorization
3 | 743, 759, 314, 741 |
743, 253, 314, 247 |
Multiply the prime numbers at the bottom and the left side.
3 x 743 x 253 x 314 x 247 = 43737825846
Therefore, the lowest common multiple of 743,759,314,741 is 43737825846.
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 759 x 314 x 741 = 131213477538
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
314 : 1, 2, 157, 314
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,759,314,741, is 1.
Now, the common factors can be found like this.
743:743
759:3x 11x 23
314:2x 157
741:3x 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.
3 = 3
Therefore, the value for common factors is 3.
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 = 131213477538/(1x3)
LCM = 131213477538/3
LCM = 43737825846
Thus, we can understand that the LCM of 743,759,314,741 is 43737825846.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 743, 759, 314, 741?
Answer: LCM of 743, 759, 314, 741 is 43737825846.
2. How to calculate the LCM of 743, 759, 314, 741?
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, 759, 314, 741.
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}.