LCM of 938, 637, 261, 174, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 637, 261, 174, 399 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 938, 637, 261, 174, 399. So, keep reading to learn more.
Given numbers are 938,637,261,174,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,637,261,174,399 is 423290322.
Find LCM of 938,637,261,174,399 with Prime Factorization
| 2 | 938, 637, 261, 174, 399 |
| 3 | 469, 637, 261, 87, 399 |
| 7 | 469, 637, 29, 87, 133 |
| 29 | 67, 91, 29, 87, 19 |
| 67, 91, 1, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 67 x 91 x 1 x 3 x 19 = 423290322
Therefore, the lowest common multiple of 938,637,261,174,399 is 423290322.
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.
938 x 637 x 261 x 174 x 399 = 10826919856116
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
637 : 1, 7, 13, 49, 91, 637
261 : 1, 3, 9, 29, 87, 261
174 : 1, 2, 3, 6, 29, 58, 87, 174
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,637,261,174,399, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
637:7x 7x 13
261:3x 3x 29
174:2x 3x 29
399:3x 7x 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 3x 3x 7x 7x 29 = 25578
Therefore, the value for common factors is 25578.
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 = 10826919856116/(1x25578)
LCM = 10826919856116/25578
LCM = 423290322
Thus, we can understand that the LCM of 938,637,261,174,399 is 423290322.
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FAQs on LCM of 938, 637, 261, 174, 399
1. What is the LCM of 938, 637, 261, 174, 399?
Answer: LCM of 938, 637, 261, 174, 399 is 423290322.
2. How to calculate the LCM of 938, 637, 261, 174, 399?
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 938, 637, 261, 174, 399.
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}.