LCM of 174, 548, 584, 680, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 548, 584, 680, 668 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 174, 548, 584, 680, 668. So, keep reading to learn more.
Given numbers are 174,548,584,680,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,548,584,680,668 is 98807079720.
Find LCM of 174,548,584,680,668 with Prime Factorization
| 2 | 174, 548, 584, 680, 668 |
| 2 | 87, 274, 292, 340, 334 |
| 2 | 87, 137, 146, 170, 167 |
| 87, 137, 73, 85, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 87 x 137 x 73 x 85 x 167 = 98807079720
Therefore, the lowest common multiple of 174,548,584,680,668 is 98807079720.
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.
174 x 548 x 584 x 680 x 668 = 25294612408320
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
548 : 1, 2, 4, 137, 274, 548
584 : 1, 2, 4, 8, 73, 146, 292, 584
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
668 : 1, 2, 4, 167, 334, 668
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,548,584,680,668, is 2.
Now, the common factors can be found like this.
174:2x 3x 29
548:2x 2x 137
584:2x 2x 2x 73
680:2x 2x 2x 5x 17
668:2x 2x 167
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 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 25294612408320/(2x128)
LCM = 25294612408320/256
LCM = 98807079720
Thus, we can understand that the LCM of 174,548,584,680,668 is 98807079720.
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FAQs on LCM of 174, 548, 584, 680, 668
1. What is the LCM of 174, 548, 584, 680, 668?
Answer: LCM of 174, 548, 584, 680, 668 is 98807079720.
2. How to calculate the LCM of 174, 548, 584, 680, 668?
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 174, 548, 584, 680, 668.
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}.