LCM of 645, 340, 962, 375, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 340, 962, 375, 507 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 645, 340, 962, 375, 507. So, keep reading to learn more.
Given numbers are 645,340,962,375,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,340,962,375,507 is 6856414500.
Find LCM of 645,340,962,375,507 with Prime Factorization
| 2 | 645, 340, 962, 375, 507 |
| 3 | 645, 170, 481, 375, 507 |
| 5 | 215, 170, 481, 125, 169 |
| 13 | 43, 34, 481, 25, 169 |
| 43, 34, 37, 25, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 43 x 34 x 37 x 25 x 13 = 6856414500
Therefore, the lowest common multiple of 645,340,962,375,507 is 6856414500.
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.
645 x 340 x 962 x 375 x 507 = 40110024825000
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
962 : 1, 2, 13, 26, 37, 74, 481, 962
375 : 1, 3, 5, 15, 25, 75, 125, 375
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,340,962,375,507, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
340:2x 2x 5x 17
962:2x 13x 37
375:3x 5x 5x 5
507:3x 13x 13
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 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 40110024825000/(1x5850)
LCM = 40110024825000/5850
LCM = 6856414500
Thus, we can understand that the LCM of 645,340,962,375,507 is 6856414500.
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FAQs on LCM of 645, 340, 962, 375, 507
1. What is the LCM of 645, 340, 962, 375, 507?
Answer: LCM of 645, 340, 962, 375, 507 is 6856414500.
2. How to calculate the LCM of 645, 340, 962, 375, 507?
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 645, 340, 962, 375, 507.
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}.