LCM of 470, 294, 740, 532, 625
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 294, 740, 532, 625 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 470, 294, 740, 532, 625. So, keep reading to learn more.
Given numbers are 470,294,740,532,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,294,740,532,625 is 12142567500.
Find LCM of 470,294,740,532,625 with Prime Factorization
| 2 | 470, 294, 740, 532, 625 |
| 2 | 235, 147, 370, 266, 625 |
| 5 | 235, 147, 185, 133, 625 |
| 7 | 47, 147, 37, 133, 125 |
| 47, 21, 37, 19, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 47 x 21 x 37 x 19 x 125 = 12142567500
Therefore, the lowest common multiple of 470,294,740,532,625 is 12142567500.
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.
470 x 294 x 740 x 532 x 625 = 33999189000000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,294,740,532,625, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
294:2x 3x 7x 7
740:2x 2x 5x 37
532:2x 2x 7x 19
625:5x 5x 5x 5
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 5x 5x 7 = 2800
Therefore, the value for common factors is 2800.
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 = 33999189000000/(1x2800)
LCM = 33999189000000/2800
LCM = 12142567500
Thus, we can understand that the LCM of 470,294,740,532,625 is 12142567500.
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FAQs on LCM of 470, 294, 740, 532, 625
1. What is the LCM of 470, 294, 740, 532, 625?
Answer: LCM of 470, 294, 740, 532, 625 is 12142567500.
2. How to calculate the LCM of 470, 294, 740, 532, 625?
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 470, 294, 740, 532, 625.
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}.