Find the LCM of 741, 431, 692, 292 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 741, 431, 692, 292. So, keep reading to learn more.
Given numbers are 741,431,692,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,431,692,292 is 16133345436.
Find LCM of 741,431,692,292 with Prime Factorization
2 | 741, 431, 692, 292 |
2 | 741, 431, 346, 146 |
741, 431, 173, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 741 x 431 x 173 x 73 = 16133345436
Therefore, the lowest common multiple of 741,431,692,292 is 16133345436.
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.
741 x 431 x 692 x 292 = 64533381744
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
431 : 1, 431
692 : 1, 2, 4, 173, 346, 692
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,431,692,292, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
431:431
692:2x 2x 173
292:2x 2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 64533381744/(1x4)
LCM = 64533381744/4
LCM = 16133345436
Thus, we can understand that the LCM of 741,431,692,292 is 16133345436.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 431, 692, 292?
Answer: LCM of 741, 431, 692, 292 is 16133345436.
2. How to calculate the LCM of 741, 431, 692, 292?
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 741, 431, 692, 292.
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}.