LCM of 620, 156, 524, 282, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 156, 524, 282, 390 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 620, 156, 524, 282, 390. So, keep reading to learn more.
Given numbers are 620,156,524,282,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,156,524,282,390 is 148876260.
Find LCM of 620,156,524,282,390 with Prime Factorization
| 2 | 620, 156, 524, 282, 390 |
| 2 | 310, 78, 262, 141, 195 |
| 3 | 155, 39, 131, 141, 195 |
| 5 | 155, 13, 131, 47, 65 |
| 13 | 31, 13, 131, 47, 13 |
| 31, 1, 131, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 31 x 1 x 131 x 47 x 1 = 148876260
Therefore, the lowest common multiple of 620,156,524,282,390 is 148876260.
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.
620 x 156 x 524 x 282 x 390 = 5573927174400
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
524 : 1, 2, 4, 131, 262, 524
282 : 1, 2, 3, 6, 47, 94, 141, 282
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,156,524,282,390, is 2.
Now, the common factors can be found like this.
620:2x 2x 5x 31
156:2x 2x 3x 13
524:2x 2x 131
282:2x 3x 47
390:2x 3x 5x 13
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 3x 3x 5x 13 = 18720
Therefore, the value for common factors is 18720.
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 = 5573927174400/(2x18720)
LCM = 5573927174400/37440
LCM = 148876260
Thus, we can understand that the LCM of 620,156,524,282,390 is 148876260.
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FAQs on LCM of 620, 156, 524, 282, 390
1. What is the LCM of 620, 156, 524, 282, 390?
Answer: LCM of 620, 156, 524, 282, 390 is 148876260.
2. How to calculate the LCM of 620, 156, 524, 282, 390?
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 620, 156, 524, 282, 390.
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}.