LCM of 442, 726, 880, 632, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 726, 880, 632, 334 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 442, 726, 880, 632, 334. So, keep reading to learn more.
Given numbers are 442,726,880,632,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,726,880,632,334 is 84670563120.
Find LCM of 442,726,880,632,334 with Prime Factorization
| 2 | 442, 726, 880, 632, 334 |
| 2 | 221, 363, 440, 316, 167 |
| 2 | 221, 363, 220, 158, 167 |
| 11 | 221, 363, 110, 79, 167 |
| 221, 33, 10, 79, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 221 x 33 x 10 x 79 x 167 = 84670563120
Therefore, the lowest common multiple of 442,726,880,632,334 is 84670563120.
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.
442 x 726 x 880 x 632 x 334 = 59608076436480
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
632 : 1, 2, 4, 8, 79, 158, 316, 632
334 : 1, 2, 167, 334
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,726,880,632,334, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
726:2x 3x 11x 11
880:2x 2x 2x 2x 5x 11
632:2x 2x 2x 79
334:2x 167
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 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 59608076436480/(2x352)
LCM = 59608076436480/704
LCM = 84670563120
Thus, we can understand that the LCM of 442,726,880,632,334 is 84670563120.
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FAQs on LCM of 442, 726, 880, 632, 334
1. What is the LCM of 442, 726, 880, 632, 334?
Answer: LCM of 442, 726, 880, 632, 334 is 84670563120.
2. How to calculate the LCM of 442, 726, 880, 632, 334?
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 442, 726, 880, 632, 334.
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}.