LCM of 437, 315, 347, 152, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 315, 347, 152, 630 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 437, 315, 347, 152, 630. So, keep reading to learn more.
Given numbers are 437,315,347,152,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,315,347,152,630 is 382130280.
Find LCM of 437,315,347,152,630 with Prime Factorization
| 2 | 437, 315, 347, 152, 630 |
| 3 | 437, 315, 347, 76, 315 |
| 3 | 437, 105, 347, 76, 105 |
| 5 | 437, 35, 347, 76, 35 |
| 7 | 437, 7, 347, 76, 7 |
| 19 | 437, 1, 347, 76, 1 |
| 23, 1, 347, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 23 x 1 x 347 x 4 x 1 = 382130280
Therefore, the lowest common multiple of 437,315,347,152,630 is 382130280.
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.
437 x 315 x 347 x 152 x 630 = 4574099451600
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.
437 : 1, 19, 23, 437
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
347 : 1, 347
152 : 1, 2, 4, 8, 19, 38, 76, 152
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,315,347,152,630, is 1.
Now, the common factors can be found like this.
437:19x 23
315:3x 3x 5x 7
347:347
152:2x 2x 2x 19
630:2x 3x 3x 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 3x 3x 5x 7x 19 = 11970
Therefore, the value for common factors is 11970.
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 = 4574099451600/(1x11970)
LCM = 4574099451600/11970
LCM = 382130280
Thus, we can understand that the LCM of 437,315,347,152,630 is 382130280.
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FAQs on LCM of 437, 315, 347, 152, 630
1. What is the LCM of 437, 315, 347, 152, 630?
Answer: LCM of 437, 315, 347, 152, 630 is 382130280.
2. How to calculate the LCM of 437, 315, 347, 152, 630?
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 437, 315, 347, 152, 630.
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}.