LCM of 630, 700, 844, 235, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 700, 844, 235, 588 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 630, 700, 844, 235, 588. So, keep reading to learn more.
Given numbers are 630,700,844,235,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,700,844,235,588 is 437339700.
Find LCM of 630,700,844,235,588 with Prime Factorization
| 2 | 630, 700, 844, 235, 588 |
| 2 | 315, 350, 422, 235, 294 |
| 3 | 315, 175, 211, 235, 147 |
| 5 | 105, 175, 211, 235, 49 |
| 7 | 21, 35, 211, 47, 49 |
| 3, 5, 211, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 3 x 5 x 211 x 47 x 7 = 437339700
Therefore, the lowest common multiple of 630,700,844,235,588 is 437339700.
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.
630 x 700 x 844 x 235 x 588 = 51431148720000
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
844 : 1, 2, 4, 211, 422, 844
235 : 1, 5, 47, 235
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,700,844,235,588, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
700:2x 2x 5x 5x 7
844:2x 2x 211
235:5x 47
588:2x 2x 3x 7x 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 2x 2x 2x 3x 5x 5x 7x 7 = 117600
Therefore, the value for common factors is 117600.
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 = 51431148720000/(1x117600)
LCM = 51431148720000/117600
LCM = 437339700
Thus, we can understand that the LCM of 630,700,844,235,588 is 437339700.
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FAQs on LCM of 630, 700, 844, 235, 588
1. What is the LCM of 630, 700, 844, 235, 588?
Answer: LCM of 630, 700, 844, 235, 588 is 437339700.
2. How to calculate the LCM of 630, 700, 844, 235, 588?
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 630, 700, 844, 235, 588.
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}.