LCM of 501, 972, 698, 892, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 972, 698, 892, 785 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, 972, 698, 892, 785. So, keep reading to learn more.
Given numbers are 501,972,698,892,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,972,698,892,785 is 9917054109180.
Find LCM of 501,972,698,892,785 with Prime Factorization
| 2 | 501, 972, 698, 892, 785 |
| 2 | 501, 486, 349, 446, 785 |
| 3 | 501, 243, 349, 223, 785 |
| 167, 81, 349, 223, 785 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 167 x 81 x 349 x 223 x 785 = 9917054109180
Therefore, the lowest common multiple of 501,972,698,892,785 is 9917054109180.
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 972 x 698 x 892 x 785 = 238009298620320
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
698 : 1, 2, 349, 698
892 : 1, 2, 4, 223, 446, 892
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,972,698,892,785, is 1.
Now, the common factors can be found like this.
501:3x 167
972:2x 2x 3x 3x 3x 3x 3
698:2x 349
892:2x 2x 223
785:5x 157
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 3 = 24
Therefore, the value for common factors is 24.
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 = 238009298620320/(1x24)
LCM = 238009298620320/24
LCM = 9917054109180
Thus, we can understand that the LCM of 501,972,698,892,785 is 9917054109180.
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FAQs on LCM of 501, 972, 698, 892, 785
1. What is the LCM of 501, 972, 698, 892, 785?
Answer: LCM of 501, 972, 698, 892, 785 is 9917054109180.
2. How to calculate the LCM of 501, 972, 698, 892, 785?
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, 972, 698, 892, 785.
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}.