Find the LCM of 301, 684, 851, 874, 277 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 301, 684, 851, 874, 277. So, keep reading to learn more.
Given numbers are 301,684,851,874,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,684,851,874,277 is 48532417668.
Find LCM of 301,684,851,874,277 with Prime Factorization
2 | 301, 684, 851, 874, 277 |
19 | 301, 342, 851, 437, 277 |
23 | 301, 18, 851, 23, 277 |
301, 18, 37, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 301 x 18 x 37 x 1 x 277 = 48532417668
Therefore, the lowest common multiple of 301,684,851,874,277 is 48532417668.
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.
301 x 684 x 851 x 874 x 277 = 42417333041832
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.
301 : 1, 7, 43, 301
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
851 : 1, 23, 37, 851
874 : 1, 2, 19, 23, 38, 46, 437, 874
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,684,851,874,277, is 1.
Now, the common factors can be found like this.
301:7x 43
684:2x 2x 3x 3x 19
851:23x 37
874:2x 19x 23
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 23 = 874
Therefore, the value for common factors is 874.
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 = 42417333041832/(1x874)
LCM = 42417333041832/874
LCM = 48532417668
Thus, we can understand that the LCM of 301,684,851,874,277 is 48532417668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 684, 851, 874, 277?
Answer: LCM of 301, 684, 851, 874, 277 is 48532417668.
2. How to calculate the LCM of 301, 684, 851, 874, 277?
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 301, 684, 851, 874, 277.
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}.