LCM of 124, 186, 757, 867, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 186, 757, 867, 417 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, 186, 757, 867, 417. So, keep reading to learn more.
Given numbers are 124,186,757,867,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,186,757,867,417 is 11312314284.
Find LCM of 124,186,757,867,417 with Prime Factorization
| 2 | 124, 186, 757, 867, 417 |
| 3 | 62, 93, 757, 867, 417 |
| 31 | 62, 31, 757, 289, 139 |
| 2, 1, 757, 289, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 2 x 1 x 757 x 289 x 139 = 11312314284
Therefore, the lowest common multiple of 124,186,757,867,417 is 11312314284.
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 186 x 757 x 867 x 417 = 6312271370472
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
186 : 1, 2, 3, 6, 31, 62, 93, 186
757 : 1, 757
867 : 1, 3, 17, 51, 289, 867
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,186,757,867,417, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
186:2x 3x 31
757:757
867:3x 17x 17
417:3x 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 3x 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 6312271370472/(1x558)
LCM = 6312271370472/558
LCM = 11312314284
Thus, we can understand that the LCM of 124,186,757,867,417 is 11312314284.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 124, 186, 757, 867, 417
1. What is the LCM of 124, 186, 757, 867, 417?
Answer: LCM of 124, 186, 757, 867, 417 is 11312314284.
2. How to calculate the LCM of 124, 186, 757, 867, 417?
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, 186, 757, 867, 417.
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}.