LCM of 743, 564, 842, 908, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 564, 842, 908, 681 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 743, 564, 842, 908, 681. So, keep reading to learn more.
Given numbers are 743,564,842,908,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,564,842,908,681 is 40047542484.
Find LCM of 743,564,842,908,681 with Prime Factorization
| 2 | 743, 564, 842, 908, 681 |
| 2 | 743, 282, 421, 454, 681 |
| 3 | 743, 141, 421, 227, 681 |
| 227 | 743, 47, 421, 227, 227 |
| 743, 47, 421, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 227 x 743 x 47 x 421 x 1 x 1 = 40047542484
Therefore, the lowest common multiple of 743,564,842,908,681 is 40047542484.
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.
743 x 564 x 842 x 908 x 681 = 218179011452832
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.
743 : 1, 743
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
842 : 1, 2, 421, 842
908 : 1, 2, 4, 227, 454, 908
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,564,842,908,681, is 1.
Now, the common factors can be found like this.
743:743
564:2x 2x 3x 47
842:2x 421
908:2x 2x 227
681:3x 227
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 227 = 5448
Therefore, the value for common factors is 5448.
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 = 218179011452832/(1x5448)
LCM = 218179011452832/5448
LCM = 40047542484
Thus, we can understand that the LCM of 743,564,842,908,681 is 40047542484.
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FAQs on LCM of 743, 564, 842, 908, 681
1. What is the LCM of 743, 564, 842, 908, 681?
Answer: LCM of 743, 564, 842, 908, 681 is 40047542484.
2. How to calculate the LCM of 743, 564, 842, 908, 681?
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 743, 564, 842, 908, 681.
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}.