LCM of 732, 774, 854, 708, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 774, 854, 708, 508 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 732, 774, 854, 708, 508. So, keep reading to learn more.
Given numbers are 732,774,854,708,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,774,854,708,508 is 4952843028.
Find LCM of 732,774,854,708,508 with Prime Factorization
| 2 | 732, 774, 854, 708, 508 |
| 2 | 366, 387, 427, 354, 254 |
| 3 | 183, 387, 427, 177, 127 |
| 61 | 61, 129, 427, 59, 127 |
| 1, 129, 7, 59, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 1 x 129 x 7 x 59 x 127 = 4952843028
Therefore, the lowest common multiple of 732,774,854,708,508 is 4952843028.
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.
732 x 774 x 854 x 708 x 508 = 174023092631808
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
854 : 1, 2, 7, 14, 61, 122, 427, 854
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
508 : 1, 2, 4, 127, 254, 508
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,774,854,708,508, is 2.
Now, the common factors can be found like this.
732:2x 2x 3x 61
774:2x 3x 3x 43
854:2x 7x 61
708:2x 2x 3x 59
508:2x 2x 127
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 3x 3x 61 = 17568
Therefore, the value for common factors is 17568.
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 = 174023092631808/(2x17568)
LCM = 174023092631808/35136
LCM = 4952843028
Thus, we can understand that the LCM of 732,774,854,708,508 is 4952843028.
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FAQs on LCM of 732, 774, 854, 708, 508
1. What is the LCM of 732, 774, 854, 708, 508?
Answer: LCM of 732, 774, 854, 708, 508 is 4952843028.
2. How to calculate the LCM of 732, 774, 854, 708, 508?
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 732, 774, 854, 708, 508.
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}.