LCM of 492, 740, 460, 746, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 740, 460, 746, 897 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 492, 740, 460, 746, 897. So, keep reading to learn more.
Given numbers are 492,740,460,746,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,740,460,746,897 is 10151187540.
Find LCM of 492,740,460,746,897 with Prime Factorization
| 2 | 492, 740, 460, 746, 897 |
| 2 | 246, 370, 230, 373, 897 |
| 3 | 123, 185, 115, 373, 897 |
| 5 | 41, 185, 115, 373, 299 |
| 23 | 41, 37, 23, 373, 299 |
| 41, 37, 1, 373, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 41 x 37 x 1 x 373 x 13 = 10151187540
Therefore, the lowest common multiple of 492,740,460,746,897 is 10151187540.
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.
492 x 740 x 460 x 746 x 897 = 112069110441600
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
746 : 1, 2, 373, 746
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,740,460,746,897, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
740:2x 2x 5x 37
460:2x 2x 5x 23
746:2x 373
897:3x 13x 23
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 3x 5x 23 = 11040
Therefore, the value for common factors is 11040.
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 = 112069110441600/(1x11040)
LCM = 112069110441600/11040
LCM = 10151187540
Thus, we can understand that the LCM of 492,740,460,746,897 is 10151187540.
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FAQs on LCM of 492, 740, 460, 746, 897
1. What is the LCM of 492, 740, 460, 746, 897?
Answer: LCM of 492, 740, 460, 746, 897 is 10151187540.
2. How to calculate the LCM of 492, 740, 460, 746, 897?
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 492, 740, 460, 746, 897.
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}.