LCM of 134, 578, 612, 602
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 578, 612, 602 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 134, 578, 612, 602. So, keep reading to learn more.
Given numbers are 134,578,612,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,578,612,602 is 209817468.
Find LCM of 134,578,612,602 with Prime Factorization
| 2 | 134, 578, 612, 602 |
| 17 | 67, 289, 306, 301 |
| 67, 17, 18, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 67 x 17 x 18 x 301 = 209817468
Therefore, the lowest common multiple of 134,578,612,602 is 209817468.
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.
134 x 578 x 612 x 602 = 28535175648
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.
134 : 1, 2, 67, 134
578 : 1, 2, 17, 34, 289, 578
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
602 : 1, 2, 7, 14, 43, 86, 301, 602
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,578,612,602, is 2.
Now, the common factors can be found like this.
134:2x 67
578:2x 17x 17
612:2x 2x 3x 3x 17
602:2x 7x 43
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 17 = 68
Therefore, the value for common factors is 68.
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 = 28535175648/(2x68)
LCM = 28535175648/136
LCM = 209817468
Thus, we can understand that the LCM of 134,578,612,602 is 209817468.
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FAQs on LCM of 134, 578, 612, 602
1. What is the LCM of 134, 578, 612, 602?
Answer: LCM of 134, 578, 612, 602 is 209817468.
2. How to calculate the LCM of 134, 578, 612, 602?
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 134, 578, 612, 602.
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}.