LCM of 692, 722, 550, 748, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 722, 550, 748, 540 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 692, 722, 550, 748, 540. So, keep reading to learn more.
Given numbers are 692,722,550,748,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,722,550,748,540 is 31532519700.
Find LCM of 692,722,550,748,540 with Prime Factorization
| 2 | 692, 722, 550, 748, 540 |
| 2 | 346, 361, 275, 374, 270 |
| 5 | 173, 361, 275, 187, 135 |
| 11 | 173, 361, 55, 187, 27 |
| 173, 361, 5, 17, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 173 x 361 x 5 x 17 x 27 = 31532519700
Therefore, the lowest common multiple of 692,722,550,748,540 is 31532519700.
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.
692 x 722 x 550 x 748 x 540 = 110994469344000
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.
692 : 1, 2, 4, 173, 346, 692
722 : 1, 2, 19, 38, 361, 722
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,722,550,748,540, is 2.
Now, the common factors can be found like this.
692:2x 2x 173
722:2x 19x 19
550:2x 5x 5x 11
748:2x 2x 11x 17
540:2x 2x 3x 3x 3x 5
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 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 110994469344000/(2x1760)
LCM = 110994469344000/3520
LCM = 31532519700
Thus, we can understand that the LCM of 692,722,550,748,540 is 31532519700.
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FAQs on LCM of 692, 722, 550, 748, 540
1. What is the LCM of 692, 722, 550, 748, 540?
Answer: LCM of 692, 722, 550, 748, 540 is 31532519700.
2. How to calculate the LCM of 692, 722, 550, 748, 540?
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 692, 722, 550, 748, 540.
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}.