LCM of 567, 500, 924, 807, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 500, 924, 807, 494 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 567, 500, 924, 807, 494. So, keep reading to learn more.
Given numbers are 567,500,924,807,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,500,924,807,494 is 207202495500.
Find LCM of 567,500,924,807,494 with Prime Factorization
| 2 | 567, 500, 924, 807, 494 |
| 2 | 567, 250, 462, 807, 247 |
| 3 | 567, 125, 231, 807, 247 |
| 7 | 189, 125, 77, 269, 247 |
| 27, 125, 11, 269, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 27 x 125 x 11 x 269 x 247 = 207202495500
Therefore, the lowest common multiple of 567,500,924,807,494 is 207202495500.
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.
567 x 500 x 924 x 807 x 494 = 104430057732000
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
807 : 1, 3, 269, 807
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,500,924,807,494, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
500:2x 2x 5x 5x 5
924:2x 2x 3x 7x 11
807:3x 269
494:2x 13x 19
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 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 104430057732000/(1x504)
LCM = 104430057732000/504
LCM = 207202495500
Thus, we can understand that the LCM of 567,500,924,807,494 is 207202495500.
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FAQs on LCM of 567, 500, 924, 807, 494
1. What is the LCM of 567, 500, 924, 807, 494?
Answer: LCM of 567, 500, 924, 807, 494 is 207202495500.
2. How to calculate the LCM of 567, 500, 924, 807, 494?
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 567, 500, 924, 807, 494.
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}.