LCM of 689, 892, 746, 573, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 892, 746, 573, 812 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 689, 892, 746, 573, 812. So, keep reading to learn more.
Given numbers are 689,892,746,573,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,892,746,573,812 is 26665121566356.
Find LCM of 689,892,746,573,812 with Prime Factorization
| 2 | 689, 892, 746, 573, 812 |
| 2 | 689, 446, 373, 573, 406 |
| 689, 223, 373, 573, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 689 x 223 x 373 x 573 x 203 = 26665121566356
Therefore, the lowest common multiple of 689,892,746,573,812 is 26665121566356.
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.
689 x 892 x 746 x 573 x 812 = 213320972530848
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.
689 : 1, 13, 53, 689
892 : 1, 2, 4, 223, 446, 892
746 : 1, 2, 373, 746
573 : 1, 3, 191, 573
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,892,746,573,812, is 1.
Now, the common factors can be found like this.
689:13x 53
892:2x 2x 223
746:2x 373
573:3x 191
812:2x 2x 7x 29
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 2 = 8
Therefore, the value for common factors is 8.
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 = 213320972530848/(1x8)
LCM = 213320972530848/8
LCM = 26665121566356
Thus, we can understand that the LCM of 689,892,746,573,812 is 26665121566356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 892, 746, 573, 812
1. What is the LCM of 689, 892, 746, 573, 812?
Answer: LCM of 689, 892, 746, 573, 812 is 26665121566356.
2. How to calculate the LCM of 689, 892, 746, 573, 812?
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 689, 892, 746, 573, 812.
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}.