LCM of 127, 119, 554, 418, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 119, 554, 418, 924 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 127, 119, 554, 418, 924. So, keep reading to learn more.
Given numbers are 127,119,554,418,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,119,554,418,924 is 10499242908.
Find LCM of 127,119,554,418,924 with Prime Factorization
| 2 | 127, 119, 554, 418, 924 |
| 7 | 127, 119, 277, 209, 462 |
| 11 | 127, 17, 277, 209, 66 |
| 127, 17, 277, 19, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 127 x 17 x 277 x 19 x 6 = 10499242908
Therefore, the lowest common multiple of 127,119,554,418,924 is 10499242908.
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.
127 x 119 x 554 x 418 x 924 = 3233766815664
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.
127 : 1, 127
119 : 1, 7, 17, 119
554 : 1, 2, 277, 554
418 : 1, 2, 11, 19, 22, 38, 209, 418
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,119,554,418,924, is 1.
Now, the common factors can be found like this.
127:127
119:7x 17
554:2x 277
418:2x 11x 19
924:2x 2x 3x 7x 11
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 3233766815664/(1x308)
LCM = 3233766815664/308
LCM = 10499242908
Thus, we can understand that the LCM of 127,119,554,418,924 is 10499242908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 127, 119, 554, 418, 924
1. What is the LCM of 127, 119, 554, 418, 924?
Answer: LCM of 127, 119, 554, 418, 924 is 10499242908.
2. How to calculate the LCM of 127, 119, 554, 418, 924?
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 127, 119, 554, 418, 924.
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}.