LCM of 746, 100, 823, 558, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 100, 823, 558, 516 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 746, 100, 823, 558, 516. So, keep reading to learn more.
Given numbers are 746,100,823,558,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,100,823,558,516 is 368282706300.
Find LCM of 746,100,823,558,516 with Prime Factorization
| 2 | 746, 100, 823, 558, 516 |
| 2 | 373, 50, 823, 279, 258 |
| 3 | 373, 25, 823, 279, 129 |
| 373, 25, 823, 93, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 373 x 25 x 823 x 93 x 43 = 368282706300
Therefore, the lowest common multiple of 746,100,823,558,516 is 368282706300.
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.
746 x 100 x 823 x 558 x 516 = 17677569902400
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.
746 : 1, 2, 373, 746
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
823 : 1, 823
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,100,823,558,516, is 1.
Now, the common factors can be found like this.
746:2x 373
100:2x 2x 5x 5
823:823
558:2x 3x 3x 31
516:2x 2x 3x 43
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 3 = 48
Therefore, the value for common factors is 48.
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 = 17677569902400/(1x48)
LCM = 17677569902400/48
LCM = 368282706300
Thus, we can understand that the LCM of 746,100,823,558,516 is 368282706300.
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FAQs on LCM of 746, 100, 823, 558, 516
1. What is the LCM of 746, 100, 823, 558, 516?
Answer: LCM of 746, 100, 823, 558, 516 is 368282706300.
2. How to calculate the LCM of 746, 100, 823, 558, 516?
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 746, 100, 823, 558, 516.
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}.