LCM of 743, 570, 513, 524, 136
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 570, 513, 524, 136 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 743, 570, 513, 524, 136. So, keep reading to learn more.
Given numbers are 743,570,513,524,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,570,513,524,136 is 33953643720.
Find LCM of 743,570,513,524,136 with Prime Factorization
| 2 | 743, 570, 513, 524, 136 |
| 2 | 743, 285, 513, 262, 68 |
| 3 | 743, 285, 513, 131, 34 |
| 19 | 743, 95, 171, 131, 34 |
| 743, 5, 9, 131, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 743 x 5 x 9 x 131 x 34 = 33953643720
Therefore, the lowest common multiple of 743,570,513,524,136 is 33953643720.
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.
743 x 570 x 513 x 524 x 136 = 15482861536320
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.
743 : 1, 743
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
513 : 1, 3, 9, 19, 27, 57, 171, 513
524 : 1, 2, 4, 131, 262, 524
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,570,513,524,136, is 1.
Now, the common factors can be found like this.
743:743
570:2x 3x 5x 19
513:3x 3x 3x 19
524:2x 2x 131
136:2x 2x 2x 17
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 15482861536320/(1x456)
LCM = 15482861536320/456
LCM = 33953643720
Thus, we can understand that the LCM of 743,570,513,524,136 is 33953643720.
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FAQs on LCM of 743, 570, 513, 524, 136
1. What is the LCM of 743, 570, 513, 524, 136?
Answer: LCM of 743, 570, 513, 524, 136 is 33953643720.
2. How to calculate the LCM of 743, 570, 513, 524, 136?
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 743, 570, 513, 524, 136.
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}.