LCM of 347, 141, 284, 240, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 141, 284, 240, 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 347, 141, 284, 240, 630. So, keep reading to learn more.
Given numbers are 347,141,284,240,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,141,284,240,630 is 5836012560.
Find LCM of 347,141,284,240,630 with Prime Factorization
| 2 | 347, 141, 284, 240, 630 |
| 2 | 347, 141, 142, 120, 315 |
| 3 | 347, 141, 71, 60, 315 |
| 5 | 347, 47, 71, 20, 105 |
| 347, 47, 71, 4, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 347 x 47 x 71 x 4 x 21 = 5836012560
Therefore, the lowest common multiple of 347,141,284,240,630 is 5836012560.
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.
347 x 141 x 284 x 240 x 630 = 2100964521600
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.
347 : 1, 347
141 : 1, 3, 47, 141
284 : 1, 2, 4, 71, 142, 284
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 347,141,284,240,630, is 1.
Now, the common factors can be found like this.
347:347
141:3x 47
284:2x 2x 71
240:2x 2x 2x 2x 3x 5
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 2x 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 2100964521600/(1x360)
LCM = 2100964521600/360
LCM = 5836012560
Thus, we can understand that the LCM of 347,141,284,240,630 is 5836012560.
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FAQs on LCM of 347, 141, 284, 240, 630
1. What is the LCM of 347, 141, 284, 240, 630?
Answer: LCM of 347, 141, 284, 240, 630 is 5836012560.
2. How to calculate the LCM of 347, 141, 284, 240, 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 347, 141, 284, 240, 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}.