Find the LCM of 367, 299, 941, 533, 262 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 367, 299, 941, 533, 262. So, keep reading to learn more.
Given numbers are 367,299,941,533,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,299,941,533,262 is 1109205524726.
Find LCM of 367,299,941,533,262 with Prime Factorization
13 | 367, 299, 941, 533, 262 |
367, 23, 941, 41, 262 |
Multiply the prime numbers at the bottom and the left side.
13 x 367 x 23 x 941 x 41 x 262 = 1109205524726
Therefore, the lowest common multiple of 367,299,941,533,262 is 1109205524726.
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.
367 x 299 x 941 x 533 x 262 = 14419671821438
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.
367 : 1, 367
299 : 1, 13, 23, 299
941 : 1, 941
533 : 1, 13, 41, 533
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,299,941,533,262, is 1.
Now, the common factors can be found like this.
367:367
299:13x 23
941:941
533:13x 41
262:2x 131
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 = 14419671821438/(1x13)
LCM = 14419671821438/13
LCM = 1109205524726
Thus, we can understand that the LCM of 367,299,941,533,262 is 1109205524726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 367, 299, 941, 533, 262?
Answer: LCM of 367, 299, 941, 533, 262 is 1109205524726.
2. How to calculate the LCM of 367, 299, 941, 533, 262?
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 367, 299, 941, 533, 262.
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}.