LCM of 140, 669, 866, 214, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 669, 866, 214, 392 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 140, 669, 866, 214, 392. So, keep reading to learn more.
Given numbers are 140,669,866,214,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,669,866,214,392 is 60751060440.
Find LCM of 140,669,866,214,392 with Prime Factorization
| 2 | 140, 669, 866, 214, 392 |
| 2 | 70, 669, 433, 107, 196 |
| 7 | 35, 669, 433, 107, 98 |
| 5, 669, 433, 107, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 5 x 669 x 433 x 107 x 14 = 60751060440
Therefore, the lowest common multiple of 140,669,866,214,392 is 60751060440.
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.
140 x 669 x 866 x 214 x 392 = 6804118769280
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
669 : 1, 3, 223, 669
866 : 1, 2, 433, 866
214 : 1, 2, 107, 214
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,669,866,214,392, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
669:3x 223
866:2x 433
214:2x 107
392:2x 2x 2x 7x 7
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 7 = 112
Therefore, the value for common factors is 112.
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 = 6804118769280/(1x112)
LCM = 6804118769280/112
LCM = 60751060440
Thus, we can understand that the LCM of 140,669,866,214,392 is 60751060440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 140, 669, 866, 214, 392
1. What is the LCM of 140, 669, 866, 214, 392?
Answer: LCM of 140, 669, 866, 214, 392 is 60751060440.
2. How to calculate the LCM of 140, 669, 866, 214, 392?
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 140, 669, 866, 214, 392.
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}.