LCM of 745, 868, 527, 765, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 868, 527, 765, 431 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 745, 868, 527, 765, 431. So, keep reading to learn more.
Given numbers are 745,868,527,765,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,868,527,765,431 is 42642700380.
Find LCM of 745,868,527,765,431 with Prime Factorization
| 5 | 745, 868, 527, 765, 431 |
| 17 | 149, 868, 527, 153, 431 |
| 31 | 149, 868, 31, 9, 431 |
| 149, 28, 1, 9, 431 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 31 x 149 x 28 x 1 x 9 x 431 = 42642700380
Therefore, the lowest common multiple of 745,868,527,765,431 is 42642700380.
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.
745 x 868 x 527 x 765 x 431 = 112363515501300
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.
745 : 1, 5, 149, 745
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
527 : 1, 17, 31, 527
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,868,527,765,431, is 1.
Now, the common factors can be found like this.
745:5x 149
868:2x 2x 7x 31
527:17x 31
765:3x 3x 5x 17
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 31 = 2635
Therefore, the value for common factors is 2635.
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 = 112363515501300/(1x2635)
LCM = 112363515501300/2635
LCM = 42642700380
Thus, we can understand that the LCM of 745,868,527,765,431 is 42642700380.
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FAQs on LCM of 745, 868, 527, 765, 431
1. What is the LCM of 745, 868, 527, 765, 431?
Answer: LCM of 745, 868, 527, 765, 431 is 42642700380.
2. How to calculate the LCM of 745, 868, 527, 765, 431?
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 745, 868, 527, 765, 431.
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}.