LCM of 180, 140, 978, 578, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 140, 978, 578, 340 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 180, 140, 978, 578, 340. So, keep reading to learn more.
Given numbers are 180,140,978,578,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,140,978,578,340 is 59354820.
Find LCM of 180,140,978,578,340 with Prime Factorization
| 2 | 180, 140, 978, 578, 340 |
| 2 | 90, 70, 489, 289, 170 |
| 3 | 45, 35, 489, 289, 85 |
| 5 | 15, 35, 163, 289, 85 |
| 17 | 3, 7, 163, 289, 17 |
| 3, 7, 163, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 3 x 7 x 163 x 1 x 17 = 59354820
Therefore, the lowest common multiple of 180,140,978,578,340 is 59354820.
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.
180 x 140 x 978 x 578 x 340 = 4843353312000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
978 : 1, 2, 3, 6, 163, 326, 489, 978
578 : 1, 2, 17, 34, 289, 578
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,140,978,578,340, is 2.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
140:2x 2x 5x 7
978:2x 3x 163
578:2x 17x 17
340:2x 2x 5x 17
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 2x 2x 3x 5x 5x 17 = 40800
Therefore, the value for common factors is 40800.
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 = 4843353312000/(2x40800)
LCM = 4843353312000/81600
LCM = 59354820
Thus, we can understand that the LCM of 180,140,978,578,340 is 59354820.
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FAQs on LCM of 180, 140, 978, 578, 340
1. What is the LCM of 180, 140, 978, 578, 340?
Answer: LCM of 180, 140, 978, 578, 340 is 59354820.
2. How to calculate the LCM of 180, 140, 978, 578, 340?
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 180, 140, 978, 578, 340.
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}.