LCM of 635, 892, 807, 955, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 892, 807, 955, 972 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 635, 892, 807, 955, 972. So, keep reading to learn more.
Given numbers are 635,892,807,955,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,892,807,955,972 is 7071808642740.
Find LCM of 635,892,807,955,972 with Prime Factorization
| 2 | 635, 892, 807, 955, 972 |
| 2 | 635, 446, 807, 955, 486 |
| 3 | 635, 223, 807, 955, 243 |
| 5 | 635, 223, 269, 955, 81 |
| 127, 223, 269, 191, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 223 x 269 x 191 x 81 = 7071808642740
Therefore, the lowest common multiple of 635,892,807,955,972 is 7071808642740.
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.
635 x 892 x 807 x 955 x 972 = 424308518564400
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.
635 : 1, 5, 127, 635
892 : 1, 2, 4, 223, 446, 892
807 : 1, 3, 269, 807
955 : 1, 5, 191, 955
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,892,807,955,972, is 1.
Now, the common factors can be found like this.
635:5x 127
892:2x 2x 223
807:3x 269
955:5x 191
972:2x 2x 3x 3x 3x 3x 3
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 5 = 60
Therefore, the value for common factors is 60.
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 = 424308518564400/(1x60)
LCM = 424308518564400/60
LCM = 7071808642740
Thus, we can understand that the LCM of 635,892,807,955,972 is 7071808642740.
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FAQs on LCM of 635, 892, 807, 955, 972
1. What is the LCM of 635, 892, 807, 955, 972?
Answer: LCM of 635, 892, 807, 955, 972 is 7071808642740.
2. How to calculate the LCM of 635, 892, 807, 955, 972?
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 635, 892, 807, 955, 972.
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}.