LCM of 890, 542, 216, 746, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 542, 216, 746, 969 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 890, 542, 216, 746, 969. So, keep reading to learn more.
Given numbers are 890,542,216,746,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,542,216,746,969 is 3138299641080.
Find LCM of 890,542,216,746,969 with Prime Factorization
| 2 | 890, 542, 216, 746, 969 |
| 3 | 445, 271, 108, 373, 969 |
| 445, 271, 36, 373, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 445 x 271 x 36 x 373 x 323 = 3138299641080
Therefore, the lowest common multiple of 890,542,216,746,969 is 3138299641080.
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.
890 x 542 x 216 x 746 x 969 = 75319191385920
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
542 : 1, 2, 271, 542
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
746 : 1, 2, 373, 746
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,542,216,746,969, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
542:2x 271
216:2x 2x 2x 3x 3x 3
746:2x 373
969:3x 17x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 75319191385920/(1x24)
LCM = 75319191385920/24
LCM = 3138299641080
Thus, we can understand that the LCM of 890,542,216,746,969 is 3138299641080.
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FAQs on LCM of 890, 542, 216, 746, 969
1. What is the LCM of 890, 542, 216, 746, 969?
Answer: LCM of 890, 542, 216, 746, 969 is 3138299641080.
2. How to calculate the LCM of 890, 542, 216, 746, 969?
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 890, 542, 216, 746, 969.
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}.