LCM of 375, 399, 300, 643, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 399, 300, 643, 988 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 375, 399, 300, 643, 988. So, keep reading to learn more.
Given numbers are 375,399,300,643,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,399,300,643,988 is 1667620500.
Find LCM of 375,399,300,643,988 with Prime Factorization
| 2 | 375, 399, 300, 643, 988 |
| 2 | 375, 399, 150, 643, 494 |
| 3 | 375, 399, 75, 643, 247 |
| 5 | 125, 133, 25, 643, 247 |
| 5 | 5, 133, 25, 643, 247 |
| 19 | 1, 133, 5, 643, 247 |
| 1, 7, 5, 643, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 19 x 1 x 7 x 5 x 643 x 13 = 1667620500
Therefore, the lowest common multiple of 375,399,300,643,988 is 1667620500.
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.
375 x 399 x 300 x 643 x 988 = 28516310550000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
399 : 1, 3, 7, 19, 21, 57, 133, 399
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
643 : 1, 643
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,399,300,643,988, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
399:3x 7x 19
300:2x 2x 3x 5x 5
643:643
988:2x 2x 13x 19
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 3x 5x 5x 19 = 17100
Therefore, the value for common factors is 17100.
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 = 28516310550000/(1x17100)
LCM = 28516310550000/17100
LCM = 1667620500
Thus, we can understand that the LCM of 375,399,300,643,988 is 1667620500.
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FAQs on LCM of 375, 399, 300, 643, 988
1. What is the LCM of 375, 399, 300, 643, 988?
Answer: LCM of 375, 399, 300, 643, 988 is 1667620500.
2. How to calculate the LCM of 375, 399, 300, 643, 988?
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 375, 399, 300, 643, 988.
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}.