LCM of 736, 300, 422, 452, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 300, 422, 452, 117 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 736, 300, 422, 452, 117. So, keep reading to learn more.
Given numbers are 736,300,422,452,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,300,422,452,117 is 51329210400.
Find LCM of 736,300,422,452,117 with Prime Factorization
| 2 | 736, 300, 422, 452, 117 |
| 2 | 368, 150, 211, 226, 117 |
| 3 | 184, 75, 211, 113, 117 |
| 184, 25, 211, 113, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 184 x 25 x 211 x 113 x 39 = 51329210400
Therefore, the lowest common multiple of 736,300,422,452,117 is 51329210400.
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.
736 x 300 x 422 x 452 x 117 = 4927604198400
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
422 : 1, 2, 211, 422
452 : 1, 2, 4, 113, 226, 452
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,300,422,452,117, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
300:2x 2x 3x 5x 5
422:2x 211
452:2x 2x 113
117:3x 3x 13
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 3 = 96
Therefore, the value for common factors is 96.
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 = 4927604198400/(1x96)
LCM = 4927604198400/96
LCM = 51329210400
Thus, we can understand that the LCM of 736,300,422,452,117 is 51329210400.
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FAQs on LCM of 736, 300, 422, 452, 117
1. What is the LCM of 736, 300, 422, 452, 117?
Answer: LCM of 736, 300, 422, 452, 117 is 51329210400.
2. How to calculate the LCM of 736, 300, 422, 452, 117?
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 736, 300, 422, 452, 117.
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}.