LCM of 353, 133, 154, 315, 855
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 133, 154, 315, 855 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 353, 133, 154, 315, 855. So, keep reading to learn more.
Given numbers are 353,133,154,315,855
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,133,154,315,855 is 46479510.
Find LCM of 353,133,154,315,855 with Prime Factorization
| 3 | 353, 133, 154, 315, 855 |
| 3 | 353, 133, 154, 105, 285 |
| 5 | 353, 133, 154, 35, 95 |
| 7 | 353, 133, 154, 7, 19 |
| 19 | 353, 19, 22, 1, 19 |
| 353, 1, 22, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 19 x 353 x 1 x 22 x 1 x 1 = 46479510
Therefore, the lowest common multiple of 353,133,154,315,855 is 46479510.
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.
353 x 133 x 154 x 315 x 855 = 1947259071450
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.
353 : 1, 353
133 : 1, 7, 19, 133
154 : 1, 2, 7, 11, 14, 22, 77, 154
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,133,154,315,855, is 1.
Now, the common factors can be found like this.
353:353
133:7x 19
154:2x 7x 11
315:3x 3x 5x 7
855:3x 3x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 7x 19 = 41895
Therefore, the value for common factors is 41895.
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 = 1947259071450/(1x41895)
LCM = 1947259071450/41895
LCM = 46479510
Thus, we can understand that the LCM of 353,133,154,315,855 is 46479510.
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FAQs on LCM of 353, 133, 154, 315, 855
1. What is the LCM of 353, 133, 154, 315, 855?
Answer: LCM of 353, 133, 154, 315, 855 is 46479510.
2. How to calculate the LCM of 353, 133, 154, 315, 855?
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 353, 133, 154, 315, 855.
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}.