LCM of 708, 726, 492, 984, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 726, 492, 984, 632 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 708, 726, 492, 984, 632. So, keep reading to learn more.
Given numbers are 708,726,492,984,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,726,492,984,632 is 554957304.
Find LCM of 708,726,492,984,632 with Prime Factorization
| 2 | 708, 726, 492, 984, 632 |
| 2 | 354, 363, 246, 492, 316 |
| 2 | 177, 363, 123, 246, 158 |
| 3 | 177, 363, 123, 123, 79 |
| 41 | 59, 121, 41, 41, 79 |
| 59, 121, 1, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 59 x 121 x 1 x 1 x 79 = 554957304
Therefore, the lowest common multiple of 708,726,492,984,632 is 554957304.
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.
708 x 726 x 492 x 984 x 632 = 157270460295168
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
632 : 1, 2, 4, 8, 79, 158, 316, 632
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,726,492,984,632, is 2.
Now, the common factors can be found like this.
708:2x 2x 3x 59
726:2x 3x 11x 11
492:2x 2x 3x 41
984:2x 2x 2x 3x 41
632:2x 2x 2x 79
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 2x 2x 3x 3x 3x 41 = 141696
Therefore, the value for common factors is 141696.
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 = 157270460295168/(2x141696)
LCM = 157270460295168/283392
LCM = 554957304
Thus, we can understand that the LCM of 708,726,492,984,632 is 554957304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 708, 726, 492, 984, 632
1. What is the LCM of 708, 726, 492, 984, 632?
Answer: LCM of 708, 726, 492, 984, 632 is 554957304.
2. How to calculate the LCM of 708, 726, 492, 984, 632?
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 708, 726, 492, 984, 632.
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}.