LCM of 975, 698, 100, 990, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 698, 100, 990, 545 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 975, 698, 100, 990, 545. So, keep reading to learn more.
Given numbers are 975,698,100,990,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,698,100,990,545 is 4895876700.
Find LCM of 975,698,100,990,545 with Prime Factorization
| 2 | 975, 698, 100, 990, 545 |
| 3 | 975, 349, 50, 495, 545 |
| 5 | 325, 349, 50, 165, 545 |
| 5 | 65, 349, 10, 33, 109 |
| 13, 349, 2, 33, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 349 x 2 x 33 x 109 = 4895876700
Therefore, the lowest common multiple of 975,698,100,990,545 is 4895876700.
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.
975 x 698 x 100 x 990 x 545 = 36719075250000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
698 : 1, 2, 349, 698
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,698,100,990,545, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
698:2x 349
100:2x 2x 5x 5
990:2x 3x 3x 5x 11
545:5x 109
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 5x 5x 5x 5 = 7500
Therefore, the value for common factors is 7500.
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 = 36719075250000/(1x7500)
LCM = 36719075250000/7500
LCM = 4895876700
Thus, we can understand that the LCM of 975,698,100,990,545 is 4895876700.
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FAQs on LCM of 975, 698, 100, 990, 545
1. What is the LCM of 975, 698, 100, 990, 545?
Answer: LCM of 975, 698, 100, 990, 545 is 4895876700.
2. How to calculate the LCM of 975, 698, 100, 990, 545?
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 975, 698, 100, 990, 545.
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}.