LCM of 341, 553, 474, 147, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 553, 474, 147, 120 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 341, 553, 474, 147, 120. So, keep reading to learn more.
Given numbers are 341,553,474,147,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,553,474,147,120 is 158401320.
Find LCM of 341,553,474,147,120 with Prime Factorization
| 2 | 341, 553, 474, 147, 120 |
| 3 | 341, 553, 237, 147, 60 |
| 7 | 341, 553, 79, 49, 20 |
| 79 | 341, 79, 79, 7, 20 |
| 341, 1, 1, 7, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 79 x 341 x 1 x 1 x 7 x 20 = 158401320
Therefore, the lowest common multiple of 341,553,474,147,120 is 158401320.
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.
341 x 553 x 474 x 147 x 120 = 1576726739280
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.
341 : 1, 11, 31, 341
553 : 1, 7, 79, 553
474 : 1, 2, 3, 6, 79, 158, 237, 474
147 : 1, 3, 7, 21, 49, 147
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,553,474,147,120, is 1.
Now, the common factors can be found like this.
341:11x 31
553:7x 79
474:2x 3x 79
147:3x 7x 7
120:2x 2x 2x 3x 5
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 3x 7x 79 = 9954
Therefore, the value for common factors is 9954.
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 = 1576726739280/(1x9954)
LCM = 1576726739280/9954
LCM = 158401320
Thus, we can understand that the LCM of 341,553,474,147,120 is 158401320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 553, 474, 147, 120
1. What is the LCM of 341, 553, 474, 147, 120?
Answer: LCM of 341, 553, 474, 147, 120 is 158401320.
2. How to calculate the LCM of 341, 553, 474, 147, 120?
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 341, 553, 474, 147, 120.
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}.