LCM of 623, 868, 630, 303, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 868, 630, 303, 345 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 623, 868, 630, 303, 345. So, keep reading to learn more.
Given numbers are 623,868,630,303,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,868,630,303,345 is 8075537820.
Find LCM of 623,868,630,303,345 with Prime Factorization
| 2 | 623, 868, 630, 303, 345 |
| 3 | 623, 434, 315, 303, 345 |
| 5 | 623, 434, 105, 101, 115 |
| 7 | 623, 434, 21, 101, 23 |
| 89, 62, 3, 101, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 89 x 62 x 3 x 101 x 23 = 8075537820
Therefore, the lowest common multiple of 623,868,630,303,345 is 8075537820.
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.
623 x 868 x 630 x 303 x 345 = 35613121786200
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.
623 : 1, 7, 89, 623
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
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
303 : 1, 3, 101, 303
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,868,630,303,345, is 1.
Now, the common factors can be found like this.
623:7x 89
868:2x 2x 7x 31
630:2x 3x 3x 5x 7
303:3x 101
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7x 7 = 4410
Therefore, the value for common factors is 4410.
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 = 35613121786200/(1x4410)
LCM = 35613121786200/4410
LCM = 8075537820
Thus, we can understand that the LCM of 623,868,630,303,345 is 8075537820.
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FAQs on LCM of 623, 868, 630, 303, 345
1. What is the LCM of 623, 868, 630, 303, 345?
Answer: LCM of 623, 868, 630, 303, 345 is 8075537820.
2. How to calculate the LCM of 623, 868, 630, 303, 345?
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 623, 868, 630, 303, 345.
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}.