LCM of 107, 282, 754, 364, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 282, 754, 364, 278 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 107, 282, 754, 364, 278. So, keep reading to learn more.
Given numbers are 107,282,754,364,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,282,754,364,278 is 22136913708.
Find LCM of 107,282,754,364,278 with Prime Factorization
| 2 | 107, 282, 754, 364, 278 |
| 13 | 107, 141, 377, 182, 139 |
| 107, 141, 29, 14, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 107 x 141 x 29 x 14 x 139 = 22136913708
Therefore, the lowest common multiple of 107,282,754,364,278 is 22136913708.
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.
107 x 282 x 754 x 364 x 278 = 2302239025632
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.
107 : 1, 107
282 : 1, 2, 3, 6, 47, 94, 141, 282
754 : 1, 2, 13, 26, 29, 58, 377, 754
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,282,754,364,278, is 1.
Now, the common factors can be found like this.
107:107
282:2x 3x 47
754:2x 13x 29
364:2x 2x 7x 13
278:2x 139
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 2302239025632/(1x104)
LCM = 2302239025632/104
LCM = 22136913708
Thus, we can understand that the LCM of 107,282,754,364,278 is 22136913708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 107, 282, 754, 364, 278
1. What is the LCM of 107, 282, 754, 364, 278?
Answer: LCM of 107, 282, 754, 364, 278 is 22136913708.
2. How to calculate the LCM of 107, 282, 754, 364, 278?
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 107, 282, 754, 364, 278.
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}.