LCM of 760, 728, 269, 598, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 728, 269, 598, 542 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 760, 728, 269, 598, 542. So, keep reading to learn more.
Given numbers are 760,728,269,598,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,728,269,598,542 is 115958981320.
Find LCM of 760,728,269,598,542 with Prime Factorization
| 2 | 760, 728, 269, 598, 542 |
| 2 | 380, 364, 269, 299, 271 |
| 2 | 190, 182, 269, 299, 271 |
| 13 | 95, 91, 269, 299, 271 |
| 95, 7, 269, 23, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 95 x 7 x 269 x 23 x 271 = 115958981320
Therefore, the lowest common multiple of 760,728,269,598,542 is 115958981320.
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.
760 x 728 x 269 x 598 x 542 = 48238936229120
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
269 : 1, 269
598 : 1, 2, 13, 23, 26, 46, 299, 598
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,728,269,598,542, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
728:2x 2x 2x 7x 13
269:269
598:2x 13x 23
542:2x 271
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 13 = 416
Therefore, the value for common factors is 416.
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 = 48238936229120/(1x416)
LCM = 48238936229120/416
LCM = 115958981320
Thus, we can understand that the LCM of 760,728,269,598,542 is 115958981320.
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FAQs on LCM of 760, 728, 269, 598, 542
1. What is the LCM of 760, 728, 269, 598, 542?
Answer: LCM of 760, 728, 269, 598, 542 is 115958981320.
2. How to calculate the LCM of 760, 728, 269, 598, 542?
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 760, 728, 269, 598, 542.
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}.