LCM of 573, 984, 276, 535, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 984, 276, 535, 174 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 573, 984, 276, 535, 174. So, keep reading to learn more.
Given numbers are 573,984,276,535,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,984,276,535,174 is 67066876680.
Find LCM of 573,984,276,535,174 with Prime Factorization
| 2 | 573, 984, 276, 535, 174 |
| 2 | 573, 492, 138, 535, 87 |
| 3 | 573, 246, 69, 535, 87 |
| 191, 82, 23, 535, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 82 x 23 x 535 x 29 = 67066876680
Therefore, the lowest common multiple of 573,984,276,535,174 is 67066876680.
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.
573 x 984 x 276 x 535 x 174 = 14486445362880
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.
573 : 1, 3, 191, 573
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
535 : 1, 5, 107, 535
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,984,276,535,174, is 1.
Now, the common factors can be found like this.
573:3x 191
984:2x 2x 2x 3x 41
276:2x 2x 3x 23
535:5x 107
174:2x 3x 29
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 14486445362880/(1x216)
LCM = 14486445362880/216
LCM = 67066876680
Thus, we can understand that the LCM of 573,984,276,535,174 is 67066876680.
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FAQs on LCM of 573, 984, 276, 535, 174
1. What is the LCM of 573, 984, 276, 535, 174?
Answer: LCM of 573, 984, 276, 535, 174 is 67066876680.
2. How to calculate the LCM of 573, 984, 276, 535, 174?
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 573, 984, 276, 535, 174.
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}.