LCM of 138, 321, 749, 644, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 321, 749, 644, 472 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 138, 321, 749, 644, 472. So, keep reading to learn more.
Given numbers are 138,321,749,644,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,321,749,644,472 is 24393432.
Find LCM of 138,321,749,644,472 with Prime Factorization
| 2 | 138, 321, 749, 644, 472 |
| 2 | 69, 321, 749, 322, 236 |
| 3 | 69, 321, 749, 161, 118 |
| 7 | 23, 107, 749, 161, 118 |
| 23 | 23, 107, 107, 23, 118 |
| 107 | 1, 107, 107, 1, 118 |
| 1, 1, 1, 1, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 107 x 1 x 1 x 1 x 1 x 118 = 24393432
Therefore, the lowest common multiple of 138,321,749,644,472 is 24393432.
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.
138 x 321 x 749 x 644 x 472 = 10085415673536
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
321 : 1, 3, 107, 321
749 : 1, 7, 107, 749
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,321,749,644,472, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
321:3x 107
749:7x 107
644:2x 2x 7x 23
472:2x 2x 2x 59
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 7x 23x 107 = 413448
Therefore, the value for common factors is 413448.
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 = 10085415673536/(1x413448)
LCM = 10085415673536/413448
LCM = 24393432
Thus, we can understand that the LCM of 138,321,749,644,472 is 24393432.
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FAQs on LCM of 138, 321, 749, 644, 472
1. What is the LCM of 138, 321, 749, 644, 472?
Answer: LCM of 138, 321, 749, 644, 472 is 24393432.
2. How to calculate the LCM of 138, 321, 749, 644, 472?
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 138, 321, 749, 644, 472.
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}.