LCM of 220, 690, 906, 133, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 690, 906, 133, 874 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 220, 690, 906, 133, 874. So, keep reading to learn more.
Given numbers are 220,690,906,133,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,690,906,133,874 is 304859940.
Find LCM of 220,690,906,133,874 with Prime Factorization
| 2 | 220, 690, 906, 133, 874 |
| 3 | 110, 345, 453, 133, 437 |
| 5 | 110, 115, 151, 133, 437 |
| 19 | 22, 23, 151, 133, 437 |
| 23 | 22, 23, 151, 7, 23 |
| 22, 1, 151, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 23 x 22 x 1 x 151 x 7 x 1 = 304859940
Therefore, the lowest common multiple of 220,690,906,133,874 is 304859940.
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.
220 x 690 x 906 x 133 x 874 = 15986855253600
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
906 : 1, 2, 3, 6, 151, 302, 453, 906
133 : 1, 7, 19, 133
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,690,906,133,874, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
690:2x 3x 5x 23
906:2x 3x 151
133:7x 19
874:2x 19x 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 3x 5x 19x 23 = 52440
Therefore, the value for common factors is 52440.
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 = 15986855253600/(1x52440)
LCM = 15986855253600/52440
LCM = 304859940
Thus, we can understand that the LCM of 220,690,906,133,874 is 304859940.
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FAQs on LCM of 220, 690, 906, 133, 874
1. What is the LCM of 220, 690, 906, 133, 874?
Answer: LCM of 220, 690, 906, 133, 874 is 304859940.
2. How to calculate the LCM of 220, 690, 906, 133, 874?
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 220, 690, 906, 133, 874.
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}.