LCM of 899, 506, 358, 423, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 506, 358, 423, 690 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 899, 506, 358, 423, 690. So, keep reading to learn more.
Given numbers are 899,506,358,423,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,506,358,423,690 is 172216044990.
Find LCM of 899,506,358,423,690 with Prime Factorization
| 2 | 899, 506, 358, 423, 690 |
| 3 | 899, 253, 179, 423, 345 |
| 23 | 899, 253, 179, 141, 115 |
| 899, 11, 179, 141, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 899 x 11 x 179 x 141 x 5 = 172216044990
Therefore, the lowest common multiple of 899,506,358,423,690 is 172216044990.
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.
899 x 506 x 358 x 423 x 690 = 47531628417240
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.
899 : 1, 29, 31, 899
506 : 1, 2, 11, 22, 23, 46, 253, 506
358 : 1, 2, 179, 358
423 : 1, 3, 9, 47, 141, 423
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,506,358,423,690, is 1.
Now, the common factors can be found like this.
899:29x 31
506:2x 11x 23
358:2x 179
423:3x 3x 47
690:2x 3x 5x 23
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 47531628417240/(1x276)
LCM = 47531628417240/276
LCM = 172216044990
Thus, we can understand that the LCM of 899,506,358,423,690 is 172216044990.
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FAQs on LCM of 899, 506, 358, 423, 690
1. What is the LCM of 899, 506, 358, 423, 690?
Answer: LCM of 899, 506, 358, 423, 690 is 172216044990.
2. How to calculate the LCM of 899, 506, 358, 423, 690?
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 899, 506, 358, 423, 690.
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}.