LCM of 869, 533, 386, 462, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 533, 386, 462, 896 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 869, 533, 386, 462, 896. So, keep reading to learn more.
Given numbers are 869,533,386,462,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,533,386,462,896 is 240288816768.
Find LCM of 869,533,386,462,896 with Prime Factorization
| 2 | 869, 533, 386, 462, 896 |
| 7 | 869, 533, 193, 231, 448 |
| 11 | 869, 533, 193, 33, 64 |
| 79, 533, 193, 3, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 79 x 533 x 193 x 3 x 64 = 240288816768
Therefore, the lowest common multiple of 869,533,386,462,896 is 240288816768.
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.
869 x 533 x 386 x 462 x 896 = 74008955564544
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.
869 : 1, 11, 79, 869
533 : 1, 13, 41, 533
386 : 1, 2, 193, 386
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,533,386,462,896, is 1.
Now, the common factors can be found like this.
869:11x 79
533:13x 41
386:2x 193
462:2x 3x 7x 11
896:2x 2x 2x 2x 2x 2x 2x 7
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 74008955564544/(1x308)
LCM = 74008955564544/308
LCM = 240288816768
Thus, we can understand that the LCM of 869,533,386,462,896 is 240288816768.
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FAQs on LCM of 869, 533, 386, 462, 896
1. What is the LCM of 869, 533, 386, 462, 896?
Answer: LCM of 869, 533, 386, 462, 896 is 240288816768.
2. How to calculate the LCM of 869, 533, 386, 462, 896?
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 869, 533, 386, 462, 896.
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}.