LCM of 924, 861, 113, 636, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 861, 113, 636, 565 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, 861, 113, 636, 565. So, keep reading to learn more.
Given numbers are 924,861,113,636,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,861,113,636,565 is 1134436380.
Find LCM of 924,861,113,636,565 with Prime Factorization
| 2 | 924, 861, 113, 636, 565 |
| 2 | 462, 861, 113, 318, 565 |
| 3 | 231, 861, 113, 159, 565 |
| 7 | 77, 287, 113, 53, 565 |
| 113 | 11, 41, 113, 53, 565 |
| 11, 41, 1, 53, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 113 x 11 x 41 x 1 x 53 x 5 = 1134436380
Therefore, the lowest common multiple of 924,861,113,636,565 is 1134436380.
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 861 x 113 x 636 x 565 = 32304210356880
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
861 : 1, 3, 7, 21, 41, 123, 287, 861
113 : 1, 113
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,861,113,636,565, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
861:3x 7x 41
113:113
636:2x 2x 3x 53
565:5x 113
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 3x 3x 7x 113 = 28476
Therefore, the value for common factors is 28476.
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 = 32304210356880/(1x28476)
LCM = 32304210356880/28476
LCM = 1134436380
Thus, we can understand that the LCM of 924,861,113,636,565 is 1134436380.
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FAQs on LCM of 924, 861, 113, 636, 565
1. What is the LCM of 924, 861, 113, 636, 565?
Answer: LCM of 924, 861, 113, 636, 565 is 1134436380.
2. How to calculate the LCM of 924, 861, 113, 636, 565?
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, 861, 113, 636, 565.
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}.