Find the LCM of 261, 754, 533, 749 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 261, 754, 533, 749. So, keep reading to learn more.
Given numbers are 261,754,533,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,754,533,749 is 208391274.
Find LCM of 261,754,533,749 with Prime Factorization
13 | 261, 754, 533, 749 |
29 | 261, 58, 41, 749 |
9, 2, 41, 749 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 9 x 2 x 41 x 749 = 208391274
Therefore, the lowest common multiple of 261,754,533,749 is 208391274.
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.
261 x 754 x 533 x 749 = 78563510298
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.
261 : 1, 3, 9, 29, 87, 261
754 : 1, 2, 13, 26, 29, 58, 377, 754
533 : 1, 13, 41, 533
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,754,533,749, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
754:2x 13x 29
533:13x 41
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 29 = 377
Therefore, the value for common factors is 377.
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 = 78563510298/(1x377)
LCM = 78563510298/377
LCM = 208391274
Thus, we can understand that the LCM of 261,754,533,749 is 208391274.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 261, 754, 533, 749?
Answer: LCM of 261, 754, 533, 749 is 208391274.
2. How to calculate the LCM of 261, 754, 533, 749?
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 261, 754, 533, 749.
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}.