LCM of 548, 824, 492, 654, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 824, 492, 654, 220 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 548, 824, 492, 654, 220. So, keep reading to learn more.
Given numbers are 548,824,492,654,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,824,492,654,220 is 83241917880.
Find LCM of 548,824,492,654,220 with Prime Factorization
| 2 | 548, 824, 492, 654, 220 |
| 2 | 274, 412, 246, 327, 110 |
| 3 | 137, 206, 123, 327, 55 |
| 137, 206, 41, 109, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 206 x 41 x 109 x 55 = 83241917880
Therefore, the lowest common multiple of 548,824,492,654,220 is 83241917880.
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.
548 x 824 x 492 x 654 x 220 = 31964896465920
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.
548 : 1, 2, 4, 137, 274, 548
824 : 1, 2, 4, 8, 103, 206, 412, 824
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
654 : 1, 2, 3, 6, 109, 218, 327, 654
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,824,492,654,220, is 2.
Now, the common factors can be found like this.
548:2x 2x 137
824:2x 2x 2x 103
492:2x 2x 3x 41
654:2x 3x 109
220:2x 2x 5x 11
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 3 = 192
Therefore, the value for common factors is 192.
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 = 31964896465920/(2x192)
LCM = 31964896465920/384
LCM = 83241917880
Thus, we can understand that the LCM of 548,824,492,654,220 is 83241917880.
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FAQs on LCM of 548, 824, 492, 654, 220
1. What is the LCM of 548, 824, 492, 654, 220?
Answer: LCM of 548, 824, 492, 654, 220 is 83241917880.
2. How to calculate the LCM of 548, 824, 492, 654, 220?
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 548, 824, 492, 654, 220.
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}.