LCM of 677, 456, 209, 116, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 456, 209, 116, 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 677, 456, 209, 116, 972. So, keep reading to learn more.
Given numbers are 677,456,209,116,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,456,209,116,972 is 7976809368.
Find LCM of 677,456,209,116,972 with Prime Factorization
| 2 | 677, 456, 209, 116, 972 |
| 2 | 677, 228, 209, 58, 486 |
| 3 | 677, 114, 209, 29, 243 |
| 19 | 677, 38, 209, 29, 81 |
| 677, 2, 11, 29, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 677 x 2 x 11 x 29 x 81 = 7976809368
Therefore, the lowest common multiple of 677,456,209,116,972 is 7976809368.
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.
677 x 456 x 209 x 116 x 972 = 7274850143616
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.
677 : 1, 677
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
209 : 1, 11, 19, 209
116 : 1, 2, 4, 29, 58, 116
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 677,456,209,116,972, is 1.
Now, the common factors can be found like this.
677:677
456:2x 2x 2x 3x 19
209:11x 19
116:2x 2x 29
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 2x 2x 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 7274850143616/(1x912)
LCM = 7274850143616/912
LCM = 7976809368
Thus, we can understand that the LCM of 677,456,209,116,972 is 7976809368.
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FAQs on LCM of 677, 456, 209, 116, 972
1. What is the LCM of 677, 456, 209, 116, 972?
Answer: LCM of 677, 456, 209, 116, 972 is 7976809368.
2. How to calculate the LCM of 677, 456, 209, 116, 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 677, 456, 209, 116, 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}.