LCM of 974, 660, 220, 627, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 660, 220, 627, 223 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 974, 660, 220, 627, 223. So, keep reading to learn more.
Given numbers are 974,660,220,627,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,660,220,627,223 is 1361856540.
Find LCM of 974,660,220,627,223 with Prime Factorization
| 2 | 974, 660, 220, 627, 223 |
| 2 | 487, 330, 110, 627, 223 |
| 3 | 487, 165, 55, 627, 223 |
| 5 | 487, 55, 55, 209, 223 |
| 11 | 487, 11, 11, 209, 223 |
| 487, 1, 1, 19, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 487 x 1 x 1 x 19 x 223 = 1361856540
Therefore, the lowest common multiple of 974,660,220,627,223 is 1361856540.
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.
974 x 660 x 220 x 627 x 223 = 19774156960800
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.
974 : 1, 2, 487, 974
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
627 : 1, 3, 11, 19, 33, 57, 209, 627
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,660,220,627,223, is 1.
Now, the common factors can be found like this.
974:2x 487
660:2x 2x 3x 5x 11
220:2x 2x 5x 11
627:3x 11x 19
223:223
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 3x 5x 11x 11 = 14520
Therefore, the value for common factors is 14520.
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 = 19774156960800/(1x14520)
LCM = 19774156960800/14520
LCM = 1361856540
Thus, we can understand that the LCM of 974,660,220,627,223 is 1361856540.
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FAQs on LCM of 974, 660, 220, 627, 223
1. What is the LCM of 974, 660, 220, 627, 223?
Answer: LCM of 974, 660, 220, 627, 223 is 1361856540.
2. How to calculate the LCM of 974, 660, 220, 627, 223?
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 974, 660, 220, 627, 223.
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}.