LCM of 980, 177, 384, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 177, 384, 546 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 980, 177, 384, 546. So, keep reading to learn more.
Given numbers are 980,177,384,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,177,384,546 is 72159360.
Find LCM of 980,177,384,546 with Prime Factorization
| 2 | 980, 177, 384, 546 |
| 2 | 490, 177, 192, 273 |
| 3 | 245, 177, 96, 273 |
| 7 | 245, 59, 32, 91 |
| 35, 59, 32, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 35 x 59 x 32 x 13 = 72159360
Therefore, the lowest common multiple of 980,177,384,546 is 72159360.
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.
980 x 177 x 384 x 546 = 36368317440
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
177 : 1, 3, 59, 177
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,177,384,546, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
177:3x 59
384:2x 2x 2x 2x 2x 2x 2x 3
546:2x 3x 7x 13
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 7 = 504
Therefore, the value for common factors is 504.
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 = 36368317440/(1x504)
LCM = 36368317440/504
LCM = 72159360
Thus, we can understand that the LCM of 980,177,384,546 is 72159360.
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FAQs on LCM of 980, 177, 384, 546
1. What is the LCM of 980, 177, 384, 546?
Answer: LCM of 980, 177, 384, 546 is 72159360.
2. How to calculate the LCM of 980, 177, 384, 546?
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 980, 177, 384, 546.
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}.