LCM of 620, 369, 334, 390, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 369, 334, 390, 533 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, 369, 334, 390, 533. So, keep reading to learn more.
Given numbers are 620,369,334,390,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,369,334,390,533 is 496681380.
Find LCM of 620,369,334,390,533 with Prime Factorization
| 2 | 620, 369, 334, 390, 533 |
| 3 | 310, 369, 167, 195, 533 |
| 5 | 310, 123, 167, 65, 533 |
| 13 | 62, 123, 167, 13, 533 |
| 41 | 62, 123, 167, 1, 41 |
| 62, 3, 167, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 41 x 62 x 3 x 167 x 1 x 1 = 496681380
Therefore, the lowest common multiple of 620,369,334,390,533 is 496681380.
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 369 x 334 x 390 x 533 = 15883870532400
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
369 : 1, 3, 9, 41, 123, 369
334 : 1, 2, 167, 334
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,369,334,390,533, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
369:3x 3x 41
334:2x 167
390:2x 3x 5x 13
533:13x 41
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 3x 5x 13x 41 = 31980
Therefore, the value for common factors is 31980.
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 = 15883870532400/(1x31980)
LCM = 15883870532400/31980
LCM = 496681380
Thus, we can understand that the LCM of 620,369,334,390,533 is 496681380.
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FAQs on LCM of 620, 369, 334, 390, 533
1. What is the LCM of 620, 369, 334, 390, 533?
Answer: LCM of 620, 369, 334, 390, 533 is 496681380.
2. How to calculate the LCM of 620, 369, 334, 390, 533?
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, 369, 334, 390, 533.
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}.