LCM of 177, 548, 220, 220, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 548, 220, 220, 785 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 177, 548, 220, 220, 785. So, keep reading to learn more.
Given numbers are 177,548,220,220,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,548,220,220,785 is 837560460.
Find LCM of 177,548,220,220,785 with Prime Factorization
| 2 | 177, 548, 220, 220, 785 |
| 2 | 177, 274, 110, 110, 785 |
| 5 | 177, 137, 55, 55, 785 |
| 11 | 177, 137, 11, 11, 157 |
| 177, 137, 1, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 177 x 137 x 1 x 1 x 157 = 837560460
Therefore, the lowest common multiple of 177,548,220,220,785 is 837560460.
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.
177 x 548 x 220 x 220 x 785 = 3685266024000
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.
177 : 1, 3, 59, 177
548 : 1, 2, 4, 137, 274, 548
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,548,220,220,785, is 1.
Now, the common factors can be found like this.
177:3x 59
548:2x 2x 137
220:2x 2x 5x 11
220:2x 2x 5x 11
785:5x 157
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 5x 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 3685266024000/(1x4400)
LCM = 3685266024000/4400
LCM = 837560460
Thus, we can understand that the LCM of 177,548,220,220,785 is 837560460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 177, 548, 220, 220, 785
1. What is the LCM of 177, 548, 220, 220, 785?
Answer: LCM of 177, 548, 220, 220, 785 is 837560460.
2. How to calculate the LCM of 177, 548, 220, 220, 785?
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 177, 548, 220, 220, 785.
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}.