LCM of 501, 105, 735, 784, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 105, 735, 784, 498 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 501, 105, 735, 784, 498. So, keep reading to learn more.
Given numbers are 501,105,735,784,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,105,735,784,498 is 163005360.
Find LCM of 501,105,735,784,498 with Prime Factorization
| 2 | 501, 105, 735, 784, 498 |
| 3 | 501, 105, 735, 392, 249 |
| 5 | 167, 35, 245, 392, 83 |
| 7 | 167, 7, 49, 392, 83 |
| 7 | 167, 1, 7, 56, 83 |
| 167, 1, 1, 8, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 167 x 1 x 1 x 8 x 83 = 163005360
Therefore, the lowest common multiple of 501,105,735,784,498 is 163005360.
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.
501 x 105 x 735 x 784 x 498 = 15095926389600
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.
501 : 1, 3, 167, 501
105 : 1, 3, 5, 7, 15, 21, 35, 105
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,105,735,784,498, is 1.
Now, the common factors can be found like this.
501:3x 167
105:3x 5x 7
735:3x 5x 7x 7
784:2x 2x 2x 2x 7x 7
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 7x 7 = 92610
Therefore, the value for common factors is 92610.
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 = 15095926389600/(1x92610)
LCM = 15095926389600/92610
LCM = 163005360
Thus, we can understand that the LCM of 501,105,735,784,498 is 163005360.
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FAQs on LCM of 501, 105, 735, 784, 498
1. What is the LCM of 501, 105, 735, 784, 498?
Answer: LCM of 501, 105, 735, 784, 498 is 163005360.
2. How to calculate the LCM of 501, 105, 735, 784, 498?
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 501, 105, 735, 784, 498.
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}.