Find the LCM of 377, 272, 377, 348, 951 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 377, 272, 377, 348, 951. So, keep reading to learn more.
Given numbers are 377,272,377,348,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,272,377,348,951 is 97519344.
Find LCM of 377,272,377,348,951 with Prime Factorization
2 | 377, 272, 377, 348, 951 |
2 | 377, 136, 377, 174, 951 |
3 | 377, 68, 377, 87, 951 |
13 | 377, 68, 377, 29, 317 |
29 | 29, 68, 29, 29, 317 |
1, 68, 1, 1, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 29 x 1 x 68 x 1 x 1 x 317 = 97519344
Therefore, the lowest common multiple of 377,272,377,348,951 is 97519344.
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.
377 x 272 x 377 x 348 x 951 = 12794147855424
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.
377 : 1, 13, 29, 377
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
377 : 1, 13, 29, 377
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,272,377,348,951, is 1.
Now, the common factors can be found like this.
377:13x 29
272:2x 2x 2x 2x 17
377:13x 29
348:2x 2x 3x 29
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 13x 29x 29 = 131196
Therefore, the value for common factors is 131196.
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 = 12794147855424/(1x131196)
LCM = 12794147855424/131196
LCM = 97519344
Thus, we can understand that the LCM of 377,272,377,348,951 is 97519344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 272, 377, 348, 951?
Answer: LCM of 377, 272, 377, 348, 951 is 97519344.
2. How to calculate the LCM of 377, 272, 377, 348, 951?
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 377, 272, 377, 348, 951.
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}.