LCM of 962, 584, 594, 909, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 584, 594, 909, 473 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, 584, 594, 909, 473. So, keep reading to learn more.
Given numbers are 962,584,594,909,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,584,594,909,473 is 362329923384.
Find LCM of 962,584,594,909,473 with Prime Factorization
| 2 | 962, 584, 594, 909, 473 |
| 3 | 481, 292, 297, 909, 473 |
| 3 | 481, 292, 99, 303, 473 |
| 11 | 481, 292, 33, 101, 473 |
| 481, 292, 3, 101, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 481 x 292 x 3 x 101 x 43 = 362329923384
Therefore, the lowest common multiple of 962,584,594,909,473 is 362329923384.
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 584 x 594 x 909 x 473 = 143482649660064
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
909 : 1, 3, 9, 101, 303, 909
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,584,594,909,473, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
584:2x 2x 2x 73
594:2x 3x 3x 3x 11
909:3x 3x 101
473:11x 43
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 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 143482649660064/(1x396)
LCM = 143482649660064/396
LCM = 362329923384
Thus, we can understand that the LCM of 962,584,594,909,473 is 362329923384.
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FAQs on LCM of 962, 584, 594, 909, 473
1. What is the LCM of 962, 584, 594, 909, 473?
Answer: LCM of 962, 584, 594, 909, 473 is 362329923384.
2. How to calculate the LCM of 962, 584, 594, 909, 473?
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, 584, 594, 909, 473.
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}.