LCM of 403, 987, 527, 630, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 987, 527, 630, 788 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 403, 987, 527, 630, 788. So, keep reading to learn more.
Given numbers are 403,987,527,630,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,987,527,630,788 is 79926095340.
Find LCM of 403,987,527,630,788 with Prime Factorization
| 2 | 403, 987, 527, 630, 788 |
| 3 | 403, 987, 527, 315, 394 |
| 7 | 403, 329, 527, 105, 394 |
| 31 | 403, 47, 527, 15, 394 |
| 13, 47, 17, 15, 394 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 13 x 47 x 17 x 15 x 394 = 79926095340
Therefore, the lowest common multiple of 403,987,527,630,788 is 79926095340.
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.
403 x 987 x 527 x 630 x 788 = 104063776132680
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.
403 : 1, 13, 31, 403
987 : 1, 3, 7, 21, 47, 141, 329, 987
527 : 1, 17, 31, 527
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,987,527,630,788, is 1.
Now, the common factors can be found like this.
403:13x 31
987:3x 7x 47
527:17x 31
630:2x 3x 3x 5x 7
788:2x 2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 31 = 1302
Therefore, the value for common factors is 1302.
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 = 104063776132680/(1x1302)
LCM = 104063776132680/1302
LCM = 79926095340
Thus, we can understand that the LCM of 403,987,527,630,788 is 79926095340.
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FAQs on LCM of 403, 987, 527, 630, 788
1. What is the LCM of 403, 987, 527, 630, 788?
Answer: LCM of 403, 987, 527, 630, 788 is 79926095340.
2. How to calculate the LCM of 403, 987, 527, 630, 788?
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 403, 987, 527, 630, 788.
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}.