LCM of 578, 980, 106, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 980, 106, 714 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 578, 980, 106, 714. So, keep reading to learn more.
Given numbers are 578,980,106,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,980,106,714 is 45031980.
Find LCM of 578,980,106,714 with Prime Factorization
| 2 | 578, 980, 106, 714 |
| 7 | 289, 490, 53, 357 |
| 17 | 289, 70, 53, 51 |
| 17, 70, 53, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 17 x 70 x 53 x 3 = 45031980
Therefore, the lowest common multiple of 578,980,106,714 is 45031980.
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.
578 x 980 x 106 x 714 = 42870444960
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.
578 : 1, 2, 17, 34, 289, 578
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
106 : 1, 2, 53, 106
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,980,106,714, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
980:2x 2x 5x 7x 7
106:2x 53
714:2x 3x 7x 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 7x 17 = 476
Therefore, the value for common factors is 476.
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 = 42870444960/(2x476)
LCM = 42870444960/952
LCM = 45031980
Thus, we can understand that the LCM of 578,980,106,714 is 45031980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 980, 106, 714
1. What is the LCM of 578, 980, 106, 714?
Answer: LCM of 578, 980, 106, 714 is 45031980.
2. How to calculate the LCM of 578, 980, 106, 714?
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 578, 980, 106, 714.
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}.