LCM of 124, 905, 651, 336, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 905, 651, 336, 377 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 124, 905, 651, 336, 377. So, keep reading to learn more.
Given numbers are 124,905,651,336,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,905,651,336,377 is 3553782960.
Find LCM of 124,905,651,336,377 with Prime Factorization
| 2 | 124, 905, 651, 336, 377 |
| 2 | 62, 905, 651, 168, 377 |
| 3 | 31, 905, 651, 84, 377 |
| 7 | 31, 905, 217, 28, 377 |
| 31 | 31, 905, 31, 4, 377 |
| 1, 905, 1, 4, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 1 x 905 x 1 x 4 x 377 = 3553782960
Therefore, the lowest common multiple of 124,905,651,336,377 is 3553782960.
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.
124 x 905 x 651 x 336 x 377 = 9254050827840
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.
124 : 1, 2, 4, 31, 62, 124
905 : 1, 5, 181, 905
651 : 1, 3, 7, 21, 31, 93, 217, 651
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,905,651,336,377, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
905:5x 181
651:3x 7x 31
336:2x 2x 2x 2x 3x 7
377:13x 29
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 7x 31 = 2604
Therefore, the value for common factors is 2604.
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 = 9254050827840/(1x2604)
LCM = 9254050827840/2604
LCM = 3553782960
Thus, we can understand that the LCM of 124,905,651,336,377 is 3553782960.
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FAQs on LCM of 124, 905, 651, 336, 377
1. What is the LCM of 124, 905, 651, 336, 377?
Answer: LCM of 124, 905, 651, 336, 377 is 3553782960.
2. How to calculate the LCM of 124, 905, 651, 336, 377?
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 124, 905, 651, 336, 377.
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}.