LCM of 223, 145, 780, 161, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 145, 780, 161, 846 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 223, 145, 780, 161, 846. So, keep reading to learn more.
Given numbers are 223,145,780,161,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,145,780,161,846 is 114509746260.
Find LCM of 223,145,780,161,846 with Prime Factorization
| 2 | 223, 145, 780, 161, 846 |
| 3 | 223, 145, 390, 161, 423 |
| 5 | 223, 145, 130, 161, 141 |
| 223, 29, 26, 161, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 223 x 29 x 26 x 161 x 141 = 114509746260
Therefore, the lowest common multiple of 223,145,780,161,846 is 114509746260.
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.
223 x 145 x 780 x 161 x 846 = 3435292387800
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.
223 : 1, 223
145 : 1, 5, 29, 145
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
161 : 1, 7, 23, 161
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,145,780,161,846, is 1.
Now, the common factors can be found like this.
223:223
145:5x 29
780:2x 2x 3x 5x 13
161:7x 23
846:2x 3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 3435292387800/(1x30)
LCM = 3435292387800/30
LCM = 114509746260
Thus, we can understand that the LCM of 223,145,780,161,846 is 114509746260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 145, 780, 161, 846
1. What is the LCM of 223, 145, 780, 161, 846?
Answer: LCM of 223, 145, 780, 161, 846 is 114509746260.
2. How to calculate the LCM of 223, 145, 780, 161, 846?
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 223, 145, 780, 161, 846.
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}.