LCM of 988, 620, 250, 310, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 620, 250, 310, 724 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 988, 620, 250, 310, 724. So, keep reading to learn more.
Given numbers are 988,620,250,310,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,620,250,310,724 is 692958500.
Find LCM of 988,620,250,310,724 with Prime Factorization
| 2 | 988, 620, 250, 310, 724 |
| 2 | 494, 310, 125, 155, 362 |
| 5 | 247, 155, 125, 155, 181 |
| 31 | 247, 31, 25, 31, 181 |
| 247, 1, 25, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 247 x 1 x 25 x 1 x 181 = 692958500
Therefore, the lowest common multiple of 988,620,250,310,724 is 692958500.
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.
988 x 620 x 250 x 310 x 724 = 34370741600000
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
250 : 1, 2, 5, 10, 25, 50, 125, 250
310 : 1, 2, 5, 10, 31, 62, 155, 310
724 : 1, 2, 4, 181, 362, 724
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,620,250,310,724, is 2.
Now, the common factors can be found like this.
988:2x 2x 13x 19
620:2x 2x 5x 31
250:2x 5x 5x 5
310:2x 5x 31
724:2x 2x 181
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 5x 5x 31 = 24800
Therefore, the value for common factors is 24800.
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 = 34370741600000/(2x24800)
LCM = 34370741600000/49600
LCM = 692958500
Thus, we can understand that the LCM of 988,620,250,310,724 is 692958500.
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FAQs on LCM of 988, 620, 250, 310, 724
1. What is the LCM of 988, 620, 250, 310, 724?
Answer: LCM of 988, 620, 250, 310, 724 is 692958500.
2. How to calculate the LCM of 988, 620, 250, 310, 724?
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 988, 620, 250, 310, 724.
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}.