LCM of 892, 532, 812, 346, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 532, 812, 346, 869 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 892, 532, 812, 346, 869. So, keep reading to learn more.
Given numbers are 892,532,812,346,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,532,812,346,869 is 517226029628.
Find LCM of 892,532,812,346,869 with Prime Factorization
| 2 | 892, 532, 812, 346, 869 |
| 2 | 446, 266, 406, 173, 869 |
| 7 | 223, 133, 203, 173, 869 |
| 223, 19, 29, 173, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 223 x 19 x 29 x 173 x 869 = 517226029628
Therefore, the lowest common multiple of 892,532,812,346,869 is 517226029628.
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.
892 x 532 x 812 x 346 x 869 = 115858630636672
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.
892 : 1, 2, 4, 223, 446, 892
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
346 : 1, 2, 173, 346
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,532,812,346,869, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
532:2x 2x 7x 19
812:2x 2x 7x 29
346:2x 173
869:11x 79
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 7 = 224
Therefore, the value for common factors is 224.
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 = 115858630636672/(1x224)
LCM = 115858630636672/224
LCM = 517226029628
Thus, we can understand that the LCM of 892,532,812,346,869 is 517226029628.
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FAQs on LCM of 892, 532, 812, 346, 869
1. What is the LCM of 892, 532, 812, 346, 869?
Answer: LCM of 892, 532, 812, 346, 869 is 517226029628.
2. How to calculate the LCM of 892, 532, 812, 346, 869?
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 892, 532, 812, 346, 869.
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}.