LCM of 287, 506, 546, 335, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 506, 546, 335, 506 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 287, 506, 546, 335, 506. So, keep reading to learn more.
Given numbers are 287,506,546,335,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,506,546,335,506 is 1897325430.
Find LCM of 287,506,546,335,506 with Prime Factorization
| 2 | 287, 506, 546, 335, 506 |
| 7 | 287, 253, 273, 335, 253 |
| 11 | 41, 253, 39, 335, 253 |
| 23 | 41, 23, 39, 335, 23 |
| 41, 1, 39, 335, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 23 x 41 x 1 x 39 x 335 x 1 = 1897325430
Therefore, the lowest common multiple of 287,506,546,335,506 is 1897325430.
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.
287 x 506 x 546 x 335 x 506 = 13440653346120
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.
287 : 1, 7, 41, 287
506 : 1, 2, 11, 22, 23, 46, 253, 506
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
335 : 1, 5, 67, 335
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,506,546,335,506, is 1.
Now, the common factors can be found like this.
287:7x 41
506:2x 11x 23
546:2x 3x 7x 13
335:5x 67
506:2x 11x 23
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 7x 11x 23 = 7084
Therefore, the value for common factors is 7084.
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 = 13440653346120/(1x7084)
LCM = 13440653346120/7084
LCM = 1897325430
Thus, we can understand that the LCM of 287,506,546,335,506 is 1897325430.
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FAQs on LCM of 287, 506, 546, 335, 506
1. What is the LCM of 287, 506, 546, 335, 506?
Answer: LCM of 287, 506, 546, 335, 506 is 1897325430.
2. How to calculate the LCM of 287, 506, 546, 335, 506?
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 287, 506, 546, 335, 506.
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}.