LCM of 198, 749, 468, 975, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 749, 468, 975, 544 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 198, 749, 468, 975, 544. So, keep reading to learn more.
Given numbers are 198,749,468,975,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,749,468,975,544 is 13109896800.
Find LCM of 198,749,468,975,544 with Prime Factorization
| 2 | 198, 749, 468, 975, 544 |
| 2 | 99, 749, 234, 975, 272 |
| 3 | 99, 749, 117, 975, 136 |
| 3 | 33, 749, 39, 325, 136 |
| 13 | 11, 749, 13, 325, 136 |
| 11, 749, 1, 25, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 11 x 749 x 1 x 25 x 136 = 13109896800
Therefore, the lowest common multiple of 198,749,468,975,544 is 13109896800.
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.
198 x 749 x 468 x 975 x 544 = 36812590214400
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
749 : 1, 7, 107, 749
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,749,468,975,544, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
749:7x 107
468:2x 2x 3x 3x 13
975:3x 5x 5x 13
544:2x 2x 2x 2x 2x 17
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 3x 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 36812590214400/(1x2808)
LCM = 36812590214400/2808
LCM = 13109896800
Thus, we can understand that the LCM of 198,749,468,975,544 is 13109896800.
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FAQs on LCM of 198, 749, 468, 975, 544
1. What is the LCM of 198, 749, 468, 975, 544?
Answer: LCM of 198, 749, 468, 975, 544 is 13109896800.
2. How to calculate the LCM of 198, 749, 468, 975, 544?
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 198, 749, 468, 975, 544.
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}.