LCM of 524, 650, 338, 342, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 650, 338, 342, 402 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 524, 650, 338, 342, 402. So, keep reading to learn more.
Given numbers are 524,650,338,342,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,650,338,342,402 is 25364652300.
Find LCM of 524,650,338,342,402 with Prime Factorization
| 2 | 524, 650, 338, 342, 402 |
| 3 | 262, 325, 169, 171, 201 |
| 13 | 262, 325, 169, 57, 67 |
| 262, 25, 13, 57, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 262 x 25 x 13 x 57 x 67 = 25364652300
Therefore, the lowest common multiple of 524,650,338,342,402 is 25364652300.
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.
524 x 650 x 338 x 342 x 402 = 15827543035200
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.
524 : 1, 2, 4, 131, 262, 524
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
338 : 1, 2, 13, 26, 169, 338
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
402 : 1, 2, 3, 6, 67, 134, 201, 402
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,650,338,342,402, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
650:2x 5x 5x 13
338:2x 13x 13
342:2x 3x 3x 19
402:2x 3x 67
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 13 = 312
Therefore, the value for common factors is 312.
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 = 15827543035200/(2x312)
LCM = 15827543035200/624
LCM = 25364652300
Thus, we can understand that the LCM of 524,650,338,342,402 is 25364652300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 650, 338, 342, 402
1. What is the LCM of 524, 650, 338, 342, 402?
Answer: LCM of 524, 650, 338, 342, 402 is 25364652300.
2. How to calculate the LCM of 524, 650, 338, 342, 402?
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 524, 650, 338, 342, 402.
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}.