LCM of 924, 138, 722, 136, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 138, 722, 136, 924 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 924, 138, 722, 136, 924. So, keep reading to learn more.
Given numbers are 924,138,722,136,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,138,722,136,924 is 260847048.
Find LCM of 924,138,722,136,924 with Prime Factorization
| 2 | 924, 138, 722, 136, 924 |
| 2 | 462, 69, 361, 68, 462 |
| 3 | 231, 69, 361, 34, 231 |
| 7 | 77, 23, 361, 34, 77 |
| 11 | 11, 23, 361, 34, 11 |
| 1, 23, 361, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 23 x 361 x 34 x 1 = 260847048
Therefore, the lowest common multiple of 924,138,722,136,924 is 260847048.
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.
924 x 138 x 722 x 136 x 924 = 11569088272896
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
138 : 1, 2, 3, 6, 23, 46, 69, 138
722 : 1, 2, 19, 38, 361, 722
136 : 1, 2, 4, 8, 17, 34, 68, 136
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,138,722,136,924, is 2.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
138:2x 3x 23
722:2x 19x 19
136:2x 2x 2x 17
924:2x 2x 3x 7x 11
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 2x 2x 3x 3x 7x 11 = 22176
Therefore, the value for common factors is 22176.
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 = 11569088272896/(2x22176)
LCM = 11569088272896/44352
LCM = 260847048
Thus, we can understand that the LCM of 924,138,722,136,924 is 260847048.
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FAQs on LCM of 924, 138, 722, 136, 924
1. What is the LCM of 924, 138, 722, 136, 924?
Answer: LCM of 924, 138, 722, 136, 924 is 260847048.
2. How to calculate the LCM of 924, 138, 722, 136, 924?
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 924, 138, 722, 136, 924.
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}.