LCM of 620, 150, 135, 974, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 150, 135, 974, 342 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 620, 150, 135, 974, 342. So, keep reading to learn more.
Given numbers are 620,150,135,974,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,150,135,974,342 is 774476100.
Find LCM of 620,150,135,974,342 with Prime Factorization
| 2 | 620, 150, 135, 974, 342 |
| 3 | 310, 75, 135, 487, 171 |
| 3 | 310, 25, 45, 487, 57 |
| 5 | 310, 25, 15, 487, 19 |
| 62, 5, 3, 487, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 62 x 5 x 3 x 487 x 19 = 774476100
Therefore, the lowest common multiple of 620,150,135,974,342 is 774476100.
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.
620 x 150 x 135 x 974 x 342 = 4182170940000
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
135 : 1, 3, 5, 9, 15, 27, 45, 135
974 : 1, 2, 487, 974
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,150,135,974,342, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
150:2x 3x 5x 5
135:3x 3x 3x 5
974:2x 487
342:2x 3x 3x 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 3x 3x 3x 5x 5 = 5400
Therefore, the value for common factors is 5400.
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 = 4182170940000/(1x5400)
LCM = 4182170940000/5400
LCM = 774476100
Thus, we can understand that the LCM of 620,150,135,974,342 is 774476100.
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FAQs on LCM of 620, 150, 135, 974, 342
1. What is the LCM of 620, 150, 135, 974, 342?
Answer: LCM of 620, 150, 135, 974, 342 is 774476100.
2. How to calculate the LCM of 620, 150, 135, 974, 342?
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 620, 150, 135, 974, 342.
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}.