LCM of 269, 542, 840, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 542, 840, 724 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 269, 542, 840, 724. So, keep reading to learn more.
Given numbers are 269,542,840,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,542,840,724 is 11083563960.
Find LCM of 269,542,840,724 with Prime Factorization
| 2 | 269, 542, 840, 724 |
| 2 | 269, 271, 420, 362 |
| 269, 271, 210, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 269 x 271 x 210 x 181 = 11083563960
Therefore, the lowest common multiple of 269,542,840,724 is 11083563960.
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.
269 x 542 x 840 x 724 = 88668511680
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.
269 : 1, 269
542 : 1, 2, 271, 542
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,542,840,724, is 1.
Now, the common factors can be found like this.
269:269
542:2x 271
840:2x 2x 2x 3x 5x 7
724:2x 2x 181
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 2 = 8
Therefore, the value for common factors is 8.
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 = 88668511680/(1x8)
LCM = 88668511680/8
LCM = 11083563960
Thus, we can understand that the LCM of 269,542,840,724 is 11083563960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 542, 840, 724
1. What is the LCM of 269, 542, 840, 724?
Answer: LCM of 269, 542, 840, 724 is 11083563960.
2. How to calculate the LCM of 269, 542, 840, 724?
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 269, 542, 840, 724.
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}.