LCM of 962, 260, 502, 461, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 260, 502, 461, 528 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 962, 260, 502, 461, 528. So, keep reading to learn more.
Given numbers are 962,260,502,461,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,260,502,461,528 is 146934456240.
Find LCM of 962,260,502,461,528 with Prime Factorization
| 2 | 962, 260, 502, 461, 528 |
| 2 | 481, 130, 251, 461, 264 |
| 13 | 481, 65, 251, 461, 132 |
| 37, 5, 251, 461, 132 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 5 x 251 x 461 x 132 = 146934456240
Therefore, the lowest common multiple of 962,260,502,461,528 is 146934456240.
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.
962 x 260 x 502 x 461 x 528 = 30562366897920
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
502 : 1, 2, 251, 502
461 : 1, 461
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,260,502,461,528, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
260:2x 2x 5x 13
502:2x 251
461:461
528:2x 2x 2x 2x 3x 11
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 13 = 208
Therefore, the value for common factors is 208.
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 = 30562366897920/(1x208)
LCM = 30562366897920/208
LCM = 146934456240
Thus, we can understand that the LCM of 962,260,502,461,528 is 146934456240.
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FAQs on LCM of 962, 260, 502, 461, 528
1. What is the LCM of 962, 260, 502, 461, 528?
Answer: LCM of 962, 260, 502, 461, 528 is 146934456240.
2. How to calculate the LCM of 962, 260, 502, 461, 528?
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 962, 260, 502, 461, 528.
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}.