LCM of 532, 247, 760, 748, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 247, 760, 748, 120 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 532, 247, 760, 748, 120. So, keep reading to learn more.
Given numbers are 532,247,760,748,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,247,760,748,120 is 38798760.
Find LCM of 532,247,760,748,120 with Prime Factorization
| 2 | 532, 247, 760, 748, 120 |
| 2 | 266, 247, 380, 374, 60 |
| 2 | 133, 247, 190, 187, 30 |
| 5 | 133, 247, 95, 187, 15 |
| 19 | 133, 247, 19, 187, 3 |
| 7, 13, 1, 187, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 7 x 13 x 1 x 187 x 3 = 38798760
Therefore, the lowest common multiple of 532,247,760,748,120 is 38798760.
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.
532 x 247 x 760 x 748 x 120 = 8964065510400
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
247 : 1, 13, 19, 247
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,247,760,748,120, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
247:13x 19
760:2x 2x 2x 5x 19
748:2x 2x 11x 17
120:2x 2x 2x 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 2x 2x 5x 19x 19 = 231040
Therefore, the value for common factors is 231040.
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 = 8964065510400/(1x231040)
LCM = 8964065510400/231040
LCM = 38798760
Thus, we can understand that the LCM of 532,247,760,748,120 is 38798760.
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FAQs on LCM of 532, 247, 760, 748, 120
1. What is the LCM of 532, 247, 760, 748, 120?
Answer: LCM of 532, 247, 760, 748, 120 is 38798760.
2. How to calculate the LCM of 532, 247, 760, 748, 120?
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 532, 247, 760, 748, 120.
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}.