LCM of 734, 980, 420, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 734, 980, 420, 162 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 734, 980, 420, 162. So, keep reading to learn more.
Given numbers are 734,980,420,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 734,980,420,162 is 29132460.
Find LCM of 734,980,420,162 with Prime Factorization
| 2 | 734, 980, 420, 162 |
| 2 | 367, 490, 210, 81 |
| 3 | 367, 245, 105, 81 |
| 5 | 367, 245, 35, 27 |
| 7 | 367, 49, 7, 27 |
| 367, 1, 7, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 367 x 1 x 7 x 27 = 29132460
Therefore, the lowest common multiple of 734,980,420,162 is 29132460.
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.
734 x 980 x 420 x 162 = 48942532800
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.
734 : 1, 2, 367, 734
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,980,420,162, is 2.
Now, the common factors can be found like this.
734:2x 367
980:2x 2x 5x 7x 7
420:2x 2x 3x 5x 7
162:2x 3x 3x 3x 3
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 7 = 840
Therefore, the value for common factors is 840.
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 = 48942532800/(2x840)
LCM = 48942532800/1680
LCM = 29132460
Thus, we can understand that the LCM of 734,980,420,162 is 29132460.
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FAQs on LCM of 734, 980, 420, 162
1. What is the LCM of 734, 980, 420, 162?
Answer: LCM of 734, 980, 420, 162 is 29132460.
2. How to calculate the LCM of 734, 980, 420, 162?
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 734, 980, 420, 162.
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}.