LCM of 578, 493, 722, 357, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 493, 722, 357, 931 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, 493, 722, 357, 931. So, keep reading to learn more.
Given numbers are 578,493,722,357,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,493,722,357,931 is 889509054.
Find LCM of 578,493,722,357,931 with Prime Factorization
| 2 | 578, 493, 722, 357, 931 |
| 7 | 289, 493, 361, 357, 931 |
| 17 | 289, 493, 361, 51, 133 |
| 19 | 17, 29, 361, 3, 133 |
| 17, 29, 19, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 19 x 17 x 29 x 19 x 3 x 7 = 889509054
Therefore, the lowest common multiple of 578,493,722,357,931 is 889509054.
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 493 x 722 x 357 x 931 = 68380119017196
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
493 : 1, 17, 29, 493
722 : 1, 2, 19, 38, 361, 722
357 : 1, 3, 7, 17, 21, 51, 119, 357
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,493,722,357,931, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
493:17x 29
722:2x 19x 19
357:3x 7x 17
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 17x 19 = 76874
Therefore, the value for common factors is 76874.
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 = 68380119017196/(1x76874)
LCM = 68380119017196/76874
LCM = 889509054
Thus, we can understand that the LCM of 578,493,722,357,931 is 889509054.
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FAQs on LCM of 578, 493, 722, 357, 931
1. What is the LCM of 578, 493, 722, 357, 931?
Answer: LCM of 578, 493, 722, 357, 931 is 889509054.
2. How to calculate the LCM of 578, 493, 722, 357, 931?
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, 493, 722, 357, 931.
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}.