LCM of 302, 968, 632, 413, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 968, 632, 413, 931 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 302, 968, 632, 413, 931. So, keep reading to learn more.
Given numbers are 302,968,632,413,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,968,632,413,931 is 634280103688.
Find LCM of 302,968,632,413,931 with Prime Factorization
| 2 | 302, 968, 632, 413, 931 |
| 2 | 151, 484, 316, 413, 931 |
| 2 | 151, 242, 158, 413, 931 |
| 7 | 151, 121, 79, 413, 931 |
| 151, 121, 79, 59, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 151 x 121 x 79 x 59 x 133 = 634280103688
Therefore, the lowest common multiple of 302,968,632,413,931 is 634280103688.
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.
302 x 968 x 632 x 413 x 931 = 71039371613056
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.
302 : 1, 2, 151, 302
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
632 : 1, 2, 4, 8, 79, 158, 316, 632
413 : 1, 7, 59, 413
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,968,632,413,931, is 1.
Now, the common factors can be found like this.
302:2x 151
968:2x 2x 2x 11x 11
632:2x 2x 2x 79
413:7x 59
931:7x 7x 19
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 7 = 112
Therefore, the value for common factors is 112.
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 = 71039371613056/(1x112)
LCM = 71039371613056/112
LCM = 634280103688
Thus, we can understand that the LCM of 302,968,632,413,931 is 634280103688.
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FAQs on LCM of 302, 968, 632, 413, 931
1. What is the LCM of 302, 968, 632, 413, 931?
Answer: LCM of 302, 968, 632, 413, 931 is 634280103688.
2. How to calculate the LCM of 302, 968, 632, 413, 931?
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 302, 968, 632, 413, 931.
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}.