LCM of 375, 494, 806, 700, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 494, 806, 700, 147 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 375, 494, 806, 700, 147. So, keep reading to learn more.
Given numbers are 375,494,806,700,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,494,806,700,147 is 562789500.
Find LCM of 375,494,806,700,147 with Prime Factorization
| 2 | 375, 494, 806, 700, 147 |
| 3 | 375, 247, 403, 350, 147 |
| 5 | 125, 247, 403, 350, 49 |
| 5 | 25, 247, 403, 70, 49 |
| 7 | 5, 247, 403, 14, 49 |
| 13 | 5, 247, 403, 2, 7 |
| 5, 19, 31, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 13 x 5 x 19 x 31 x 2 x 7 = 562789500
Therefore, the lowest common multiple of 375,494,806,700,147 is 562789500.
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.
375 x 494 x 806 x 700 x 147 = 15364153350000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
494 : 1, 2, 13, 19, 26, 38, 247, 494
806 : 1, 2, 13, 26, 31, 62, 403, 806
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,494,806,700,147, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
494:2x 13x 19
806:2x 13x 31
700:2x 2x 5x 5x 7
147:3x 7x 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 5x 5x 7x 13 = 27300
Therefore, the value for common factors is 27300.
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 = 15364153350000/(1x27300)
LCM = 15364153350000/27300
LCM = 562789500
Thus, we can understand that the LCM of 375,494,806,700,147 is 562789500.
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FAQs on LCM of 375, 494, 806, 700, 147
1. What is the LCM of 375, 494, 806, 700, 147?
Answer: LCM of 375, 494, 806, 700, 147 is 562789500.
2. How to calculate the LCM of 375, 494, 806, 700, 147?
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 375, 494, 806, 700, 147.
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}.