LCM of 924, 136, 824, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 136, 824, 264 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, 136, 824, 264. So, keep reading to learn more.
Given numbers are 924,136,824,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,136,824,264 is 3235848.
Find LCM of 924,136,824,264 with Prime Factorization
| 2 | 924, 136, 824, 264 |
| 2 | 462, 68, 412, 132 |
| 2 | 231, 34, 206, 66 |
| 3 | 231, 17, 103, 33 |
| 11 | 77, 17, 103, 11 |
| 7, 17, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 7 x 17 x 103 x 1 = 3235848
Therefore, the lowest common multiple of 924,136,824,264 is 3235848.
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 136 x 824 x 264 = 27336443904
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
136 : 1, 2, 4, 8, 17, 34, 68, 136
824 : 1, 2, 4, 8, 103, 206, 412, 824
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,136,824,264, is 4.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
136:2x 2x 2x 17
824:2x 2x 2x 103
264:2x 2x 2x 3x 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 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 27336443904/(4x2112)
LCM = 27336443904/8448
LCM = 3235848
Thus, we can understand that the LCM of 924,136,824,264 is 3235848.
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FAQs on LCM of 924, 136, 824, 264
1. What is the LCM of 924, 136, 824, 264?
Answer: LCM of 924, 136, 824, 264 is 3235848.
2. How to calculate the LCM of 924, 136, 824, 264?
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, 136, 824, 264.
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}.