LCM of 742, 680, 371, 198, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 680, 371, 198, 431 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 742, 680, 371, 198, 431. So, keep reading to learn more.
Given numbers are 742,680,371,198,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,680,371,198,431 is 10764535320.
Find LCM of 742,680,371,198,431 with Prime Factorization
| 2 | 742, 680, 371, 198, 431 |
| 7 | 371, 340, 371, 99, 431 |
| 53 | 53, 340, 53, 99, 431 |
| 1, 340, 1, 99, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 1 x 340 x 1 x 99 x 431 = 10764535320
Therefore, the lowest common multiple of 742,680,371,198,431 is 10764535320.
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.
742 x 680 x 371 x 198 x 431 = 15974570414880
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
371 : 1, 7, 53, 371
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,680,371,198,431, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
680:2x 2x 2x 5x 17
371:7x 53
198:2x 3x 3x 11
431:431
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 7x 53 = 1484
Therefore, the value for common factors is 1484.
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 = 15974570414880/(1x1484)
LCM = 15974570414880/1484
LCM = 10764535320
Thus, we can understand that the LCM of 742,680,371,198,431 is 10764535320.
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FAQs on LCM of 742, 680, 371, 198, 431
1. What is the LCM of 742, 680, 371, 198, 431?
Answer: LCM of 742, 680, 371, 198, 431 is 10764535320.
2. How to calculate the LCM of 742, 680, 371, 198, 431?
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 742, 680, 371, 198, 431.
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}.