LCM of 588, 955, 294, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 955, 294, 350 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 588, 955, 294, 350. So, keep reading to learn more.
Given numbers are 588,955,294,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,955,294,350 is 2807700.
Find LCM of 588,955,294,350 with Prime Factorization
| 2 | 588, 955, 294, 350 |
| 3 | 294, 955, 147, 175 |
| 5 | 98, 955, 49, 175 |
| 7 | 98, 191, 49, 35 |
| 7 | 14, 191, 7, 5 |
| 2, 191, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 2 x 191 x 1 x 5 = 2807700
Therefore, the lowest common multiple of 588,955,294,350 is 2807700.
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.
588 x 955 x 294 x 350 = 57782466000
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
955 : 1, 5, 191, 955
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,955,294,350, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
955:5x 191
294:2x 3x 7x 7
350:2x 5x 5x 7
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 3x 5x 7x 7x 7 = 20580
Therefore, the value for common factors is 20580.
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 = 57782466000/(1x20580)
LCM = 57782466000/20580
LCM = 2807700
Thus, we can understand that the LCM of 588,955,294,350 is 2807700.
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FAQs on LCM of 588, 955, 294, 350
1. What is the LCM of 588, 955, 294, 350?
Answer: LCM of 588, 955, 294, 350 is 2807700.
2. How to calculate the LCM of 588, 955, 294, 350?
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 588, 955, 294, 350.
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}.