LCM of 630, 922, 345, 350, 525
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 922, 345, 350, 525 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, 922, 345, 350, 525. So, keep reading to learn more.
Given numbers are 630,922,345,350,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,922,345,350,525 is 33399450.
Find LCM of 630,922,345,350,525 with Prime Factorization
| 2 | 630, 922, 345, 350, 525 |
| 3 | 315, 461, 345, 175, 525 |
| 5 | 105, 461, 115, 175, 175 |
| 5 | 21, 461, 23, 35, 35 |
| 7 | 21, 461, 23, 7, 7 |
| 3, 461, 23, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 3 x 461 x 23 x 1 x 1 = 33399450
Therefore, the lowest common multiple of 630,922,345,350,525 is 33399450.
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 922 x 345 x 350 x 525 = 36822893625000
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
922 : 1, 2, 461, 922
345 : 1, 3, 5, 15, 23, 69, 115, 345
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,922,345,350,525, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
922:2x 461
345:3x 5x 23
350:2x 5x 5x 7
525:3x 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 3x 5x 5x 5x 5x 7x 7 = 1102500
Therefore, the value for common factors is 1102500.
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 = 36822893625000/(1x1102500)
LCM = 36822893625000/1102500
LCM = 33399450
Thus, we can understand that the LCM of 630,922,345,350,525 is 33399450.
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FAQs on LCM of 630, 922, 345, 350, 525
1. What is the LCM of 630, 922, 345, 350, 525?
Answer: LCM of 630, 922, 345, 350, 525 is 33399450.
2. How to calculate the LCM of 630, 922, 345, 350, 525?
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, 922, 345, 350, 525.
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}.