LCM of 112, 716, 528, 901, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 716, 528, 901, 123 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 112, 716, 528, 901, 123. So, keep reading to learn more.
Given numbers are 112,716,528,901,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,716,528,901,123 is 24439574544.
Find LCM of 112,716,528,901,123 with Prime Factorization
| 2 | 112, 716, 528, 901, 123 |
| 2 | 56, 358, 264, 901, 123 |
| 2 | 28, 179, 132, 901, 123 |
| 2 | 14, 179, 66, 901, 123 |
| 3 | 7, 179, 33, 901, 123 |
| 7, 179, 11, 901, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 179 x 11 x 901 x 41 = 24439574544
Therefore, the lowest common multiple of 112,716,528,901,123 is 24439574544.
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.
112 x 716 x 528 x 901 x 123 = 4692398312448
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
716 : 1, 2, 4, 179, 358, 716
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
901 : 1, 17, 53, 901
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,716,528,901,123, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
716:2x 2x 179
528:2x 2x 2x 2x 3x 11
901:17x 53
123:3x 41
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 4692398312448/(1x192)
LCM = 4692398312448/192
LCM = 24439574544
Thus, we can understand that the LCM of 112,716,528,901,123 is 24439574544.
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FAQs on LCM of 112, 716, 528, 901, 123
1. What is the LCM of 112, 716, 528, 901, 123?
Answer: LCM of 112, 716, 528, 901, 123 is 24439574544.
2. How to calculate the LCM of 112, 716, 528, 901, 123?
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 112, 716, 528, 901, 123.
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}.